Results for 'Bohmian Mechanics'

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  1. On the Common Structure of Bohmian Mechanics and the Ghirardi-Rimini-Weber Theory: Dedicated to GianCarlo Ghirardi on the Occasion of His 70th Birthday.Valia Allori, Sheldon Goldstein, Roderich Tumulka & Nino Zanghi - 2008 - British Journal for the Philosophy of Science 59 (3):353 - 389.
    Bohmian mechanics and the Ghirardi-Rimini-Weber theory provide opposite resolutions of the quantum measurement problem: the former postulates additional variables (the particle positions) besides the wave function, whereas the latter implements spontaneous collapses of the wave function by a nonlinear and stochastic modification of Schrödinger's equation. Still, both theories, when understood appropriately, share the following structure: They are ultimately not about wave functions but about 'matter' moving in space, represented by either particle trajectories, fields on space-time, or a discrete (...)
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  2. Bohmian Mechanics Without Wave Function Ontology.Albert Sol? - 2013 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 44 (4):365-378.
    In this paper, I critically assess different interpretations of Bohmian mechanics that are not committed to an ontology based on the wave function being an actual physical object that inhabits configuration space. More specifically, my aim is to explore the connection between the denial of configuration space realism and another interpretive debate that is specific to Bohmian mechanics: the quantum potential versus guidance approaches. Whereas defenders of the quantum potential approach to the theory claim that (...) mechanics is better formulated as quasi-Newtonian, via the postulation of forces proportional to acceleration; advocates of the guidance approach defend the notion that the theory is essentially first-order and incorporates some concepts akin to those of Aristotelian physics. Here I analyze whether the desideratum of an interpretation of Bohmian mechanics that is both explanatorily adequate and not committed to configuration space realism favors one of these two approaches to the theory over the other. Contrary to some recent claims in the literature, I argue that the quasi-Newtonian approach based on the idea of a quantum potential does not come out the winner. (shrink)
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  3.  35
    Can Bohmian Mechanics Be Made Background Independent?Antonio Vassallo - 2015 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 52 (2):242-250.
    The paper presents an inquiry into the question regarding the compatibility of Bohmian mechanics, intended as a non-local theory of moving point-like particles, with background independence. This issue is worth being investigated because, if the Bohmian framework has to be of some help in developing new physics, it has to be compatible with the most well-established traits of modern physics, background independence being one of such traits. The paper highlights the fact that the notion of background independence (...)
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  4.  90
    What is Bohmian Mechanics.Valia Allori & Nino Zanghi - 2004 - International Journal of Theoretical Physics 43:1743-1755.
    Bohmian mechanics is a quantum theory with a clear ontology. To make clear what we mean by this, we shall proceed by recalling first what are the problems of quantum mechanics. We shall then briefly sketch the basics of Bohmian mechanics and indicate how Bohmian mechanics solves these problems and clarifies the status and the role of of the quantum formalism.
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  5. Bohmian Mechanics and Quantum Information.Sheldon Goldstein - 2010 - Foundations of Physics 40 (4):335-355.
    Many recent results suggest that quantum theory is about information, and that quantum theory is best understood as arising from principles concerning information and information processing. At the same time, by far the simplest version of quantum mechanics, Bohmian mechanics, is concerned, not with information but with the behavior of an objective microscopic reality given by particles and their positions. What I would like to do here is to examine whether, and to what extent, the importance of (...)
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  6.  50
    On a Symmetry Argument for the Guidance Equation in Bohmian Mechanics.Bradford Skow - 2010 - International Studies in the Philosophy of Science 24 (4):393-410.
    Bohmian mechanics faces an underdetermination problem: when it comes to solving the measurement problem, alternatives to the Bohmian guidance equation work just as well as the official guidance equation. One way to argue that the guidance equation is superior to its rivals is to use a symmetry argument: of the candidate guidance equations, the official guidance equation is the simplest Galilean-invariant candidate. This symmetry argument---if it worked---would solve the underdetermination problem. But the argument does not work. It (...)
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  7.  11
    Weak Measurements From the Point of View of Bohmian Mechanics.C. R. Leavens - 2005 - Foundations of Physics 35 (3):469-491.
    The theory of weak measurements developed by Aharonov and coworkers has been applied by them and others to several interesting problems in which the system of interest is both pre- and post-selected. When the probability of successful post-selection is very small the prediction for the weak value of the measured quantity is often “bizarre” and sometimes controversial, lying outside the range of possibility for a classical system or for a quantum system in the absence of post-selection (e.g. negative kinetic energies (...)
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  8. Quantum Theory: An Appraisal.Bohmian Mechanics - 1995 - Boston Studies in the Philosophy of Science 184.
  9.  31
    Boson-Fermion Unification, Superstrings, and Bohmian Mechanics.Hrvoje Nikolić - 2009 - Foundations of Physics 39 (10):1109-1138.
    Bosonic and fermionic particle currents can be introduced in a more unified way, with the cost of introducing a preferred spacetime foliation. Such a unified treatment of bosons and fermions naturally emerges from an analogous superstring current, showing that the preferred spacetime foliation appears only at the level of effective field theory, not at the fundamental superstring level. The existence of the preferred spacetime foliation allows an objective definition of particles associated with quantum field theory in curved spacetime. Such an (...)
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  10.  30
    Bohmian Mechanics, the Quantum-Classical Correspondence and the Classical Limit: The Case of the Square Billiard. [REVIEW]A. Matzkin - 2009 - Foundations of Physics 39 (8):903-920.
    Square billiards are quantum systems complying with the dynamical quantum-classical correspondence. Hence an initially localized wavefunction launched along a classical periodic orbit evolves along that orbit, the spreading of the quantum amplitude being controlled by the spread of the corresponding classical statistical distribution. We investigate wavepacket dynamics and compute the corresponding de Broglie-Bohm trajectories in the quantum square billiard. We also determine the trajectories and statistical distribution dynamics for the equivalent classical billiard. Individual Bohmian trajectories follow the streamlines of (...)
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  11.  27
    Probability in Relativistic Bohmian Mechanics of Particles and Strings.Hrvoje Nikolić - 2008 - Foundations of Physics 38 (9):869-881.
    Even though the Bohmian trajectories given by integral curves of the conserved Klein-Gordon current may involve motions backwards in time, the natural relativistic probability density of particle positions is well-defined. The Bohmian theory predicts subtle deviations from the statistical predictions of more conventional formulations of quantum theory, but it seems that no present experiment rules this theory out. The generalization to the case of many particles or strings is straightforward, provided that a preferred foliation of spacetime is given.
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  12.  28
    On the Role of Density Matrices in Bohmian Mechanics.Detlef Dürr, Sheldon Goldstein, Roderich Tumulka & Nino Zanghí - 2005 - Foundations of Physics 35 (3):449-467.
  13. The Ontology of Bohmian Mechanics.M. Esfeld, M. Hubert, D. Lazarovici & D. Durr - 2014 - British Journal for the Philosophy of Science 65 (4):773-796.
    The paper points out that the modern formulation of Bohm’s quantum theory known as Bohmian mechanics is committed only to particles’ positions and a law of motion. We explain how this view can avoid the open questions that the traditional view faces according to which Bohm’s theory is committed to a wave-function that is a physical entity over and above the particles, although it is defined on configuration space instead of three-dimensional space. We then enquire into the status (...)
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  14. Quantum Entanglement, Bohmian Mechanics, and Humean Supervenience.Elizabeth Miller - 2014 - Australasian Journal of Philosophy 92 (3):567-583.
    David Lewis is a natural target for those who believe that findings in quantum physics threaten the tenability of traditional metaphysical reductionism. Such philosophers point to allegedly holistic entities they take both to be the subjects of some claims of quantum mechanics and to be incompatible with Lewisian metaphysics. According to one popular argument, the non-separability argument from quantum entanglement, any realist interpretation of quantum theory is straightforwardly inconsistent with the reductive conviction that the complete physical state of the (...)
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  15.  35
    Formalism, Ontology and Methodology in Bohmian Mechanics.Darrin W. Belousek - 2003 - Foundations of Science 8 (2):109-172.
    The relationship between mathematical formalism, physical interpretation and epistemological appraisal in the practice of physical theorizing is considered in the context of Bohmian mechanics. After laying outthe formal mathematical postulates of thetheory and recovering the historical roots ofthe present debate over the meaning of Bohmianmechanics from the early debate over themeaning of Schrödinger's wave mechanics,several contemporary interpretations of Bohmianmechanics in the literature are discussed andcritiqued with respect to the aim of causalexplanation and an alternative interpretationis proposed. Throughout, (...)
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  16.  92
    Some Observations Upon “Realistic” Trajectories in Bohmian Quantum Mechanics.María C. Boscá - 2013 - Theoria: Revista de Teoría, Historia y Fundamentos de la Ciencia 28 (1):45-60.
    Experimental situations in which we observe quantum effects that deviate from the intuitive expectations of the classical world call for an interdisciplinary discussion, and one fundamental issue to be considered is the compatibility between the description of phenomena and the assumption of an objective reality. This paper discusses the ontological interpretation of Bohmian quantum mechanics, focusing on the use of the term “trajectory” and the difficulties associated with its connection to a “real” (objective) trajectory. My conclusion is that (...)
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  17.  16
    The Reality in Bohmian Quantum Mechanics or Can You Kill with an Empty Wave Bullet?Lev Vaidman - 2005 - Foundations of Physics 35 (2):299-312.
    Several situations, in which an empty wave causes an observable effect, are reviewed. They include an experiment showing ‘‘surrealistic trajectories’’ proposed by Englert et al. and protective measurement of the density of the quantum state. Conditions for observable effects due to empty waves are derived. The possibility (in spite of the existence of these examples) of minimalistic interpretation of Bohmian quantum mechanics in which only Bohmian positions supervene on our experience is discussed.
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  18.  72
    On the Common Structure of Bohmian Mechanics and the Ghirardi–Rimini–Weber Theory Dedicated to GianCarlo Ghirardi on the Occasion of His 70th Birthday.Valia Allori, Sheldon Goldstein, Roderich Tumulka & Nino Zanghì - 2008 - British Journal for the Philosophy of Science 59 (3):353-389.
    Bohmian mechanics and the Ghirardi–Rimini–Weber theory provide opposite resolutions of the quantum measurement problem: the former postulates additional variables besides the wave function, whereas the latter implements spontaneous collapses of the wave function by a nonlinear and stochastic modification of Schrödinger's equation. Still, both theories, when understood appropriately, share the following structure: They are ultimately not about wave functions but about ‘matter’ moving in space, represented by either particle trajectories, fields on space-time, or a discrete set of space-time (...)
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  19.  83
    On the Common Structure of Bohmian Mechanics and the Ghirardi–Rimini–Weber Theory: Dedicated to Giancarlo Ghirardi on the Occasion of His 70th Birthday.Valia Allori, Sheldon Goldstein, Roderich Tumulka & and Nino Zanghì - 2008 - British Journal for the Philosophy of Science 59 (3):353-389.
    Bohmian mechanics and the Ghirardi–Rimini–Weber theory provide opposite resolutions of the quantum measurement problem: the former postulates additional variables (the particle positions) besides the wave function, whereas the latter implements spontaneous collapses of the wave function by a nonlinear and stochastic modification of Schrödinger's equation. Still, both theories, when understood appropriately, share the following structure: They are ultimately not about wave functions but about ‘matter’ moving in space, represented by either particle trajectories, fields on space-time, or a discrete (...)
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  20.  96
    Bohmian Mechanics.Roderich Tumulka, Detlef Durr, Sheldon Goldstein & Nino Zanghi - 2009 - Compendium of Quantum Physics.
    Bohmian mechanics is a theory about point particles moving along trajectories. It has the property that in a world governed by Bohmian mechanics, observers see the same statistics for experimental results as predicted by quantum mechanics. Bohmian mechanics thus provides an explanation of quantum mechanics. Moreover, the Bohmian trajectories are defined in a non-conspiratorial way by a few simple laws.
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  21.  99
    Bohmian Mechanics.Sheldon Goldstein - 2008 - Stanford Encyclopedia of Philosophy.
    Bohmian mechanics, which is also called the de Broglie-Bohm theory, the pilot-wave model, and the causal interpretation of quantum mechanics, is a version of quantum theory discovered by Louis de Broglie in 1927 and rediscovered by David Bohm in 1952. It is the simplest example of what is often called a hidden variables interpretation of quantum mechanics. In Bohmian mechanics a system of particles is described in part by its wave function, evolving, as usual, (...)
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  22. The Emergence and Interpretation of Probability in Bohmian Mechanics.Craig Callender - 2007 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 38 (2):351-370.
    A persistent question about the deBroglie–Bohm interpretation of quantum mechanics concerns the understanding of Born’s rule in the theory. Where do the quantum mechanical probabilities come from? How are they to be interpreted? These are the problems of emergence and interpretation. In more than 50 years no consensus regarding the answers has been achieved. Indeed, mirroring the foundational disputes in statistical mechanics, the answers to each question are surprisingly diverse. This paper is an opinionated survey of this literature. (...)
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  23.  11
    The Relationship Between Chemistry and Physics From the Perspective of Bohmian Mechanics.Fortin Sebastian, Lombardi Olimpia & González Juan Camilo Martínez - 2017 - Foundations of Chemistry 19 (1):43-59.
    Although during the last decades the philosophy of chemistry has greatly extended its thematic scope, the main difficulties appear in the attempt to link the chemical description of atoms and molecules and the description supplied by quantum mechanics. The aim of this paper is to analyze how the difficulties that threaten the continuous conceptual link between molecular chemistry and quantum mechanics can be overcome or, at least, moderated from the perspective of BM. With this purpose, in “The quantum-mechanical (...)
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  24.  17
    Bohmian Mechanics Revisited.E. Deotto & G. C. Ghirardi - 1998 - Foundations of Physics 28 (1):1-30.
    We consider the problem of whether there are deterministic theories describing the evolution of an individual physical system in terms of the definite trajectories of its constituent particles and which stay in the same relation to quantum mechanics as Bohmian mechanics but which differ from the latter for what concerns the trajectories followed by the particles. Obviously, one has to impose on the hypothetical alternative theory precise physical requirements. We analyze various such constraints and we show step (...)
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  25. Entanglement Exchange And Bohmian Mechanics.Nick Huggett & Tiziana Vistarini - 2010 - Manuscrito 33 (1):223-242.
    This paper explains the phenomenon of `entanglement exchange' within the Bohmian approach to quantum mechanics. After explaining Bohmian mechanics and entanglement exchange, in which pairs of particles become entangled without ever interacting causally in the usual, unitary sense, our aim is to use this example, to illustrate how the `pilot wave' mediates non-local correlations. The discussion thus gives a useful new way to think about entanglement exchange, and clarifies the structure of Bohmian mechanics.
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  26.  29
    On the Uniqueness of Quantum Equilibrium in Bohmian Mechanics.Sheldon Goldstein & W. Struyve - manuscript
    In Bohmian mechanics the distribution |ψ|2 is regarded as the equilibrium distribution. We consider its uniqueness, finding that it is the unique equivariant distribution that is also a local functional of the wave function ψ.
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  27.  16
    Weak Value, Quasiprobability and Bohmian Mechanics.Kazuki Fukuda, Jaeha Lee & Izumi Tsutsui - 2017 - Foundations of Physics 47 (2):236-255.
    We clarify the significance of quasiprobability in quantum mechanics that is relevant in describing physical quantities associated with a transition process. Our basic quantity is Aharonov’s weak value, from which the QP can be defined up to a certain ambiguity parameterized by a complex number. Unlike the conventional probability, the QP allows us to treat two noncommuting observables consistently, and this is utilized to embed the QP in Bohmian mechanics such that its equivalence to quantum mechanics (...)
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  28.  4
    Compoundation Invariance and Bohmian Mechanics.Giulio Peruzzi & Alberto Rimini - 2000 - Foundations of Physics 30 (9):1445-1472.
    The property of fundamental mechanical theories which allows to treat compound objects as particles under suitable conditions is considered. It is argued that such a property, called compoundation invariance, is a nonreleasable property of any mechanical theory not declaring to which elementary constituents it applies. Compoundation invariance is discussed in the framework of Bohmian mechanics. It is found that standard Bohmian mechanics satisfies the requirement of compoundation invariance, with some reservation in the case of compound objects (...)
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  29.  73
    On the Weak Measurement of Velocity in Bohmian Mechanics.Sheldon Goldstein - unknown
    In a recent article [1], Wiseman has proposed the use of so-called weak measurements for the determination of the velocity of a quantum particle at a given position, and has shown that according to quantum mechanics the result of such a procedure is the Bohmian velocity of the particle. Although Bohmian mechanics is empirically equivalent to variants based on velocity formulas different from the Bohmian one, and although it has been proven that the velocity in (...)
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  30.  43
    Bohmian Mechanics.Detlef Diirr - unknown
    Bohmian mechanics is a quantum theory without observers. This means that neither the act of observation nor the notion of observer play any role in defining the theory, the theory is not about observers and observation, and it explains all non relativistic quantum phenomena. The theory is about something primitive', the basic ontology, and the laws for that are given. Bohmian mechanics is a deterministic theory of point particles. Like Newtonian mechanics it is invariant under (...)
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  31.  45
    Bohmian Mechanics.Nino Zanghi - unknown
    Bohmian mechanics is a theory about point particles moving along trajectories. It has the property that in a world governed by Bohmian mechanics, observers see the same statistics for experimental results as predicted by quantum mechanics. Bohmian mechanics thus provides an explanation of quantum mechanics. Moreover, the Bohmian trajectories are defined in a non-conspiratorial way by a few simple laws.
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  32.  37
    Topological Factors Derived From Bohmian Mechanics.Sheldon Goldstein - manuscript
    We derive for Bohmian mechanics topological factors for quantum systems with a multiply-connected configuration space Q. These include nonabelian factors corresponding to what we call holonomy-twisted representations of the fundamental group of Q. We employ wave functions on the universal covering space of Q. As a byproduct of our analysis, we obtain an explanation, within the framework of Bohmian mechanics, of the fact that the wave function of a system of identical particles is either symmetric or (...)
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  33.  9
    Notes on the Ontology of Bohmian Mechanics.Shan Gao - unknown
    It is argued that in Bohmian mechanics the effective wave function of a subsystem of the universe does not encode the influences of other particles on the subsystem. This suggests that the ontology of Bohmian mechanics does not consist only in Bohmian particles and their positions. It is nonetheless pointed out that since the wave function in configuration space may represent the state of ergodic motion of non-Bohmian particles in three-dimensional space, the ontology of (...)
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  34.  59
    Statistics, Symmetry, and (In)Distinguishability in Bohmian Mechanics.Darrin W. Belousek - 2000 - Foundations of Physics 30 (1):153-164.
    This paper continues an earlier work by considering in what sense and to what extent identical Bohmian-mechanical particles in many-particle systems can be considered indistinguishable. We conclude that while whether identical Bohmian-mechanical particles ace considered to be “statistically (in)distinguishable” is a matter of theory choice underdetermined by logic and experiment, such particles are in any case “physically distinguishable.”.
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  35.  54
    Bohmian Mechanics and the Quantum Revolution. [REVIEW]Sheldon Goldstein - 1996 - Synthese 107 (1):145 - 165.
    When I was young I was fascinated by the quantum revolution: the transition from classical definiteness and determinism to quantum indeterminacy and uncertainty, from classical laws that are indifferent, if not hostile, to the human presence, to quantum laws that fundamentally depend upon an observer for their very meaning. I was intrigued by the radical subjectivity, as expressed by Heisenberg’s assertion [3] that “The idea of an objective real world whose smallest parts exist objectively in the same sense as stones (...)
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  36.  24
    Realism in Energy Transition Processes: An Example From Bohmian Quantum Mechanics.J. Acacio de Barros, J. P. R. F. de Mendonça & N. Pinto-Neto - 2007 - Synthese 154 (3):349-370.
    In this paper we study in details a system of two weakly coupled harmonic oscillators from the point of view of Bohm’s interpretation of quantum mechanics. This system may be viewed as a simple model for the interaction between a photon and a photodetector. We obtain exact solutions for the general case. We then compute approximate solutions for the case where one oscillator is initially in its first excited state (a single photon) reaching the other oscillator in its ground (...)
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  37. Bohmian Mechanics and Quantum Theory: An Appraisal.James T. Cushing, Arthur Fine & Sheldon Goldstein - 1996 - Springer.
     
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  38. Bohmian Trajectories as the Foundation of Quantum Mechanics.Sheldon Goldstein - unknown
    Bohmian trajectories have been used for various purposes, including the numerical simulation of the time-dependent Schr¨ odinger equation and the visualization of time-dependent wave functions. We review the purpose they were invented for: to serve as the foundation of quantum mechanics, i.e., to explain quantum mechanics in terms of a theory that is free of paradoxes and allows an understanding that is as clear as that of classical mechanics. Indeed, they succeed in serving that purpose in (...)
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  39.  1
    The Emergence and Interpretation of Probability in Bohmian Mechanics.Craig Callender - 2006 - Studies in History and Philosophy of Modern Physics 38 (2):351-370.
  40.  28
    Can the Ontological Models Framework Accommodate Bohmian Mechanics?Benjamin Feintzeig - 2014 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 48 (1):59-67.
  41.  47
    Review Essay: Bohmian Mechanics and the Quantum Revolution. [REVIEW]Sheldon Goldstein - 1996 - Synthese 107 (1):145 - 165.
  42. Bohmian Mechanics and Quantum Theory: An Appraisal.James T. Cushing, Arthur Fine & Sheldon Goldstein - 1998 - British Journal for the Philosophy of Science 49 (2):332-337.
     
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  43.  22
    Bohmian Mechanics and Quantum Theory.Gregg Jaeger - 2000 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 31 (1):105-108.
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  44. Bohmian Mechanics and Quantum Equilibrium.Sheldon Goldstein, D. Dürr & N. Zanghì - manuscript
    in Stochastic Processes, Physics and Geometry II, edited by S. Albeverio, U. Cattaneo, D. Merlini (World Scientific, Singapore, 1995) pp. 221-232.
     
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  45.  22
    Realism in Energy Transition Processes: An Example From Bohmian Quantum Mechanics.J. Acacio De Barros, J. P. R. F. De Mendonça & N. Pinto-Neto - 2007 - Synthese 154 (3):349 - 370.
    In this paper we study in details a system of two weakly coupled harmonic oscillators from the point of view of Bohm's interpretation of quantum mechanics. This system may be viewed as a simple model for the interaction between a photon and a photodetector. We obtain exact solutions for the general case. We then compute approximate solutions for the case where one oscillator is initially in its first excited state (a single photon) reaching the other oscillator in its ground (...)
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  46.  59
    Bohmian Dispositions.Mauricio Suárez - 2015 - Synthese 192 (10):3203-3228.
    This paper argues for a broadly dispositionalist approach to the ontology of Bohmian mechanics . It first distinguishes the ‘minimal’ and the ‘causal’ versions of Bohm’s theory, and then briefly reviews some of the claims advanced on behalf of the ‘causal’ version by its proponents. A number of ontological or interpretive accounts of the wave function in BM are then addressed in detail, including configuration space, multi-field, nomological, and dispositional approaches. The main objection to each account is reviewed, (...)
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  47.  38
    On the Conceptual Issues Surrounding the Notion of Relational Bohmian Dynamics.Antonio Vassallo & Pui Him Ip - 2016 - Foundations of Physics 46 (8):943-972.
    The paper presents a program to construct a non-relativistic relational Bohmian theory, that is, a theory of N moving point-like particles that dispenses with space and time as fundamental background structures. The relational program proposed is based on the best-matching framework originally developed by Julian Barbour. In particular, the paper focuses on the conceptual problems that arise when trying to implement such a program. It is argued that pursuing a relational strategy in the Bohmian context leads to a (...)
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  48.  90
    Empty Waves in Bohmian Quantum Mechanics.Peter J. Lewis - 2007 - British Journal for the Philosophy of Science 58 (4):787 - 803.
    There is a recurring line of argument in the literature to the effect that Bohm's theory fails to solve the measurement problem. I show that this argument fails in all its variants. Hence Bohm's theory, whatever its drawbacks, at least succeeds in solving the measurement problem. I briefly discuss a similar argument that has been raised against the GRW theory.
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  49. On the Classical Limit of Quantum Mechanics.Valia Allori & Nino Zanghi - 2008 - Foundations of Physics 10.1007/S10701-008-9259-4 39 (1):20-32.
    Contrary to the widespread belief, the problem of the emergence of classical mechanics from quantum mechanics is still open. In spite of many results on the ¯h → 0 asymptotics, it is not yet clear how to explain within standard quantum mechanics the classical motion of macroscopic bodies. In this paper we shall analyze special cases of classical behavior in the framework of a precise formulation of quantum mechanics, Bohmian mechanics, which contains in its (...)
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  50.  69
    Classical and Non-Relativistic Limits of a Lorentz-Invariant Bohmian Model for a System of Spinless Particles.Sergio Hernández-Zapata & Ernesto Hernández-Zapata - 2010 - Foundations of Physics 40 (5):532-544.
    A completely Lorentz-invariant Bohmian model has been proposed recently for the case of a system of non-interacting spinless particles, obeying Klein-Gordon equations. It is based on a multi-temporal formalism and on the idea of treating the squared norm of the wave function as a space-time probability density. The particle’s configurations evolve in space-time in terms of a parameter σ with dimensions of time. In this work this model is further analyzed and extended to the case of an interaction with (...)
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