24 found
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  1.  48
    Juan Sebastian Ardenghi, Mario Castagnino & Olimpia Lombardi (2009). Quantum Mechanics: Modal Interpretation and Galilean Transformations. [REVIEW] Foundations of Physics 39 (9):1023-1045.
    The aim of this paper is to consider in what sense the modal-Hamiltonian interpretation of quantum mechanics satisfies the physical constraints imposed by the Galilean group. In particular, we show that the only apparent conflict, which follows from boost-transformations, can be overcome when the definition of quantum systems and subsystems is taken into account. On this basis, we apply the interpretation to different well-known models, in order to obtain concrete examples of the previous conceptual conclusions. Finally, we consider the role (...)
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  2. Olimpia Lombardi & Mario Castagnino (2008). A Modal-Hamiltonian Interpretation of Quantum Mechanics. Studies in History and Philosophy of Science Part B 39 (2):380-443.
    The aim of this paper is to introduce a new member of the family of the modal interpretations of quantum mechanics. In this modal-Hamiltonian interpretation, the Hamiltonian of the quantum system plays a decisive role in the property-ascription rule that selects the definite-valued observables whose possible values become actual. We show that this interpretation is effective for solving the measurement problem, both in its ideal and its non-ideal versions, and we argue for the physical relevance of the property-ascription rule by (...)
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  3. Mario Castagnino, Olimpia Lombardi & Luis Lara (2003). The Global Arrow of Time as a Geometrical Property of the Universe. Foundations of Physics 33 (6):877-912.
    Traditional discussions about the arrow of time in general involve the concept of entropy. In the cosmological context, the direction past-to-future is usually related to the direction of the gradient of the entropy function of the universe. But the definition of the entropy of the universe is a very controversial matter. Moreover, thermodynamics is a phenomenological theory. Geometrical properties of space-time provide a more fundamental and less controversial way of defining an arrow of time for the universe as a whole. (...)
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  4.  58
    Olimpia Lombardi, Mario Castagnino & Juan Sebastián Ardenghi (2010). The Modal-Hamiltonian Interpretation and the Galilean Covariance of Quantum Mechanics. Studies in History and Philosophy of Science Part B 41 (2):93-103.
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  5.  10
    Mario Castagnino & Manuel Gadella (2006). The Problem of the Classical Limit of Quantum Mechanics and the Role of Self-Induced Decoherence. Foundations of Physics 36 (6):920-952.
    Our account of the problem of the classical limit of quantum mechanics involves two elements. The first one is self-induced decoherence, conceived as a process that depends on the own dynamics of a closed quantum system governed by a Hamiltonian with continuous spectrum; the study of decoherence is addressed by means of a formalism used to give meaning to the van Hove states with diagonal singularities. The second element is macroscopicity represented by the limit $\hbar \rightarrow 0$ : when the (...)
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  6. Matías Aiello, Mario Castagnino & Olimpia Lombardi (2008). The Arrow of Time: From Universe Time-Asymmetry to Local Irreversible Processes. [REVIEW] Foundations of Physics 38 (3):257-292.
    In several previous papers we have argued for a global and non-entropic approach to the problem of the arrow of time, according to which the “arrow” is only a metaphorical way of expressing the geometrical time-asymmetry of the universe. We have also shown that, under definite conditions, this global time-asymmetry can be transferred to local contexts as an energy flow that points to the same temporal direction all over the spacetime. The aim of this paper is to complete the global (...)
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  7.  70
    Mario Castagnino, Roberto Laura & Olimpia Lombardi (2007). A General Conceptual Framework for Decoherence in Closed and Open Systems. Philosophy of Science 74 (5):968-980.
    In this paper we argue that the formalisms for decoherence originally devised to deal just with closed or open systems can be subsumed under a general conceptual framework, in such a way that they cooperate in the understanding of the same physical phenomenon. This new perspective dissolves certain conceptual difficulties of the einselection program but, at the same time, shows that the openness of the quantum system is not the essential ingredient for decoherence. †To contact the authors, please write to: (...)
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  8.  32
    Mario Castagnino & Olimpia Lombardi (2005). Self-Induced Decoherence and the Classical Limit of Quantum Mechanics. Philosophy of Science 72 (5):764-776.
    In this paper we argue that the emergence of the classical world from the underlying quantum reality involves two elements: self-induced decoherence and macroscopicity. Self-induced decoherence does not require the openness of the system and its interaction with the environment: a single closed system can decohere when its Hamiltonian has continuous spectrum. We show that, if the system is macroscopic enough, after self-induced decoherence it can be described as an ensemble of classical distributions weighted by their corresponding probabilities. We also (...)
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  9.  52
    Mario Castagnino & Olimpia Lombardi (2009). The Global Non-Entropic Arrow of Time: From Global Geometrical Asymmetry to Local Energy Flow. Synthese 169 (1):1 - 25.
    Since the nineteenth century, the problem of the arrow of time has been traditionally analyzed in terms of entropy by relating the direction past-to-future to the gradient of the entropy function of the universe. In this paper, we reject this traditional perspective and argue for a global and non-entropic approach to the problem, according to which the arrow of time can be defined in terms of the geometrical properties of spacetime. In particular, we show how the global non-entropic arrow can (...)
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  10.  12
    Mario Castagnino & Olimpia Lombardi (2004). Self-Induced Decoherence: A New Approach. Studies in History and Philosophy of Science Part B 35 (1):73-107.
    According to Zurek, decoherence is a process resulting from the interaction between a quantum system and its environment; this process singles out a preferred set of states, usually called “pointer basis”, that determines which observables will receive definite values. This means that decoherence leads to a sort of selection which precludes all except a small subset of the states in the Hilbert space of the system from behaving in a classical manner: environment-induced-superselection—einselection —is a consequence of the process of decoherence. (...)
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  11.  45
    Mario Castagnino, Manuel Gadella & Olimpia Lombardi (2005). Time's Arrow and Irreversibility in Time-Asymmetric Quantum Mechanics. International Studies in the Philosophy of Science 19 (3):223 – 243.
    The aim of this paper is to analyze time-asymmetric quantum mechanics with respect to the problems of irreversibility and of time's arrow. We begin with arguing that both problems are conceptually different. Then, we show that, contrary to a common opinion, the theory's ability to describe irreversible quantum processes is not a consequence of the semigroup evolution laws expressing the non-time-reversal invariance of the theory. Finally, we argue that time-asymmetric quantum mechanics, either in Prigogine's version or in Bohm's version, does (...)
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  12. Olimpia Lombardi, Juan Sebastián Ardenghi, Sebastian Fortin & Mario Castagnino (2011). Compatibility Between Environment-Induced Decoherence and the Modal-Hamiltonian Interpretation of Quantum Mechanics. Philosophy of Science 78 (5):1024-1036.
    Given the impressive success of environment-induced decoherence, nowadays no interpretation of quantum mechanics can ignore its results. The modal-Hamiltonian interpretation has proved to be effective for solving several interpretative problems but, since its actualization rule applies to closed systems, it seems to stand at odds of EID. The purpose of this paper is to show that this is not the case: the states einselected by the interaction with the environment according to EID are the eigenvectors of an actual-valued observable belonging (...)
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  13.  38
    Mario Castagnino & Olimpia Lombardi (2007). Non-Integrability and Mixing in Quantum Systems: On the Way to Quantum Chaos. Studies in History and Philosophy of Science Part B 38 (3):482-513.
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  14. Marcel Weber, Warren Schmaus, Heather A. Jamniczky, Gry Oftedal, Robert C. Bishop, Axel Gelfert, Mathias Frisch, Daniel Parker, Mario Castagnino & Olimpia Lombardi (2005). 1. Preface Preface (Pp. I-Ii). Philosophy of Science 72 (5).
     
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  15.  70
    Olimpia Lombardi, Sebastian Fortin & Mario Castagnino (2012). The Problem of Identifying the System and the Environment in the Phenomenon of Decoherence. In Henk W. de Regt (ed.), Epsa Philosophy of Science: Amsterdam 2009. Springer 161--174.
    According to the environment-induced approach to decoherence, the split of the Universe into the degrees of freedom which are of direct interest to the observer and the remaining degrees of freedom is absolutely essential for decoherence. However, the EID approach offers no general criterion for deciding where to place the “cut” between system and environment: the environment may be “external” or “internal”. The main purpose of this paper is to argue that decoherence is a relative phenomenon, better understood from a (...)
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  16.  7
    Mario Castagnino & Olimpia Lombardi (2009). The Global Non-Entropic Arrow of Time: From Global Geometrical Asymmetry to Local Energy Flow. Synthese 169 (1):1-25.
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  17.  53
    Mario Castagnino, Olimpia Lombardi & Luis Lara, The Arrow of Time in Cosmology.
    Scientific cosmology is an empirical discipline whose objects of study are the large-scale properties of the universe. In this context, it is usual to call the direction of the expansion of the universe the "cosmological arrow of time". However, there is no reason for privileging the ‘radius’ of the universe for defining the arrow of time over other geometrical properties of the space-time. Traditional discussions about the arrow of time in general involve the concept of entropy. In the cosmological context, (...)
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  18.  39
    Mario Castagnino, Manuel Gadella & Olimpia Lombardi, Time-Reversal Invariance and Irreversibility in Time-Asymmetric Quantum Mechanics.
    The aim of this paper is to analyze the concepts of time-reversal invariance and irreversibility in the so-called 'time-asymmetric quantum mechanics'. We begin with pointing out the difference between these two concepts. On this basis, we show that irreversibility is not as tightly linked to the semigroup evolution laws of the theory -which lead to its non time-reversal invariance- as usually suggested. In turn, we argue that the irreversible evolutions described by the theory are coarse-grained processes.
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  19.  23
    Mario Castagnino (2010). Matters Are Not so Clear on the Physical Side. Foundations of Chemistry 12 (2):159-166.
    According to ontological reductionism, molecular chemistry refers, at last, to the quantum ontology; therefore, the ontological commitments of chemistry turn out to be finally grounded on quantum mechanics. The main problem of this position is that nobody really knows what quantum ontology is. The purpose of this work is to argue that the confidence in the existence of the physical entities described by quantum mechanics does not take into account the interpretative problems of the theory: in the discussions about the (...)
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  20.  2
    Olimpia Lombardi, Mario Castagnino & Juan Sebastián Ardenghi (2010). The Modal-Hamiltonian Interpretation and the Galilean Covariance of Quantum Mechanics. Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 41 (2):93-103.
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  21.  11
    Mario Castagnino & Olimpia Lombardi, Self-Induced Selection: A New Approach to Quantum Decoherence.
    According to Zurek, decoherence is a process resulting from the interaction between a quantum system and its environment; this process singles out a preferred set of states, usually called “pointer basis”, that determines which observables will receive definite values. This means that decoherence leads to a sort of selection which precludes all except a small subset of the states in the Hilbert space of the system from behaving in a classical manner: environment-induced-superselection (einselection) is a consequence of the process of (...)
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  22. Mario Castagnino & Olimpia Lombardi (2007). Non-Integrability and Mixing in Quantum Systems: On the Way to Quantum Chaos. Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 38 (3):482-513.
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  23. Mario Castagnino & Olimpia Lombardi (2004). Self-Induced Decoherence: A New Approach. Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 35 (1):73-107.
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  24. Olimpia Lombardi & Mario Castagnino (2008). A Modal-Hamiltonian Interpretation of Quantum Mechanics. Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 39 (2):380-443.
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