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  1. C. C. Allen (1933). Is the Theory of Relativity Sound? Australasian Journal of Philosophy 11 (4):293 – 299.
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  2. Arno Bohm & Sujeewa Wickramasekara (1997). The Time Reversal Operator for Semigroup Evolutions. Foundations of Physics 27 (7):969-993.
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  3. Niels Bohr (1987). The Philosophical Writings of Niels Bohr. Ox Bow Press.
    v. 1. Atomic theory and the description of nature -- v. 2. Essays 1932-1957 on atomic physics and human knowledge -- v. 3. Essays 1958-1962 on atomic physics and human knowledge -- v. 4. Causality and complementarity.
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  4. Niels Bohr (1963/1987). Essays 1958-1962 on Atomic Physics and Human Knowledge. Ox Bow Press.
    Quantum physics and philosophy--causality and complementarity -- The unit of human knowledge -- The connection between the sciences -- Light and life revisited -- The Rutherford memorial lecture 1958 -- The genesis of quantum mechanics -- The Solvay meetings and the development of quantum physics.
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  5. H. G. Callaway (2014). Arthur S. Eddington, The Nature of the Physical World, An Annotated Edition. Cambridge Scholars Publishing.
    Arthur S. Eddington, FRS, (1882–1944) was one of the most prominent British scientists of his time. He made major contributions to astrophysics and to the broader understanding of the revolutionary theories of relativity and quantum mechanics. He is famed for his astronomical observations of 1919, confirming Einstein’s prediction of the curving of the paths of starlight, and he was the first major interpreter of Einstein’s physics to the English-speaking world. His 1928 book, The Nature of the Physical World, here re-issued (...)
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  6. B. DeFacio (1975). Causal Independence in Algebraic Quantum Field Theory. Foundations of Physics 5 (2):229-237.
    Ekstein has shown that causal independence neither implies nor is implied by commutativity in an infinite-dimensional, reducible construction. DeFacio and Taylor have presented a finite-dimensional irreducible example of Ekstein's proposition. Avishai and Ekstein have shown that the original question regarding locality for algebraic quantum field theories remainsopen. We concur with that claim and offer additional arguments. A new denumerably infinite-dimensional, irreducible example is presented here which shows that a sort of “orthogonality” among operators is involved. Some observations on localC*-andW*-algebras are (...)
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  7. David P. DiVincenzo & Barbara M. Terhal (2005). Fermionic Linear Optics Revisited. Foundations of Physics 35 (12):1967-1984.
    We provide an alternative view of the efficient classical simulatibility of fermionic linear optics in terms of Slater determinants. We investigate the generic effects of two-mode measurements on the Slater number of fermionic states. We argue that most such measurements are not capable (in conjunction with fermion linear optics) of an efficient exact implementation of universal quantum computation. Our arguments do not apply to the two-mode parity measurement, for which exact quantum computation becomes possible.
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  8. Maxim Dvornikov (2012). Canonical Quantization of a Massive Weyl Field. Foundations of Physics 42 (11):1469-1479.
    We construct a consistent theory of a quantum massive Weyl field. We start with the formulation of the classical field theory approach for the description of massive Weyl fields. It is demonstrated that the standard Lagrange formalism cannot be applied for the studies of massive first-quantized Weyl spinors. Nevertheless we show that the classical field theory description of massive Weyl fields can be implemented in frames of the Hamilton formalism or using the extended Lagrange formalism. Then we carry out a (...)
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  9. D. M. Eagles (1978). An Electrostatic Interpretation of Some Empirical Parameters of Light Quarks. Foundations of Physics 8 (5-6):417-421.
    Values of some arbitrary parameters appearing in a geometrical model for elementary particles developed by MacGregor are compared with quantities associated with classical properties of blocks of charges±e interacting via Coulomb forces and hard-sphere repulsion only. If it is assumed that masses and radii of individual charged particles are related bymc 2=(2/3)(e 2/r) and thatmc 2=6.87 MeV, then the self-energiesM andM ± of 24-particle neutral blocks and 25-particle charged blocks composed of layers of three octagons and of a square sandwiched (...)
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  10. Bruno Eckhardt & Uzy Smilansky (2001). Stroboscopic Quantization of Autonomous Systems. Foundations of Physics 31 (3):543-556.
    We introduce a semiclassical quantization method which is based on a stroboscopic description of the classical and the quantum flows. We show that this approach emerges naturally when one is interested in extracting the energy spectrum within a prescribed and finite energy interval. The resulting semiclassical expression involves a finite number of periodic orbits whose energies are in the considered interval. Higher order corrections which reflect the sharp restriction of the spectrum to an interval are explicitly given. The relation to (...)
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  11. James D. Edmonds Jr (1978). An Elegant but “Simple” Form for the Dirac Hydrogen Atom. Foundations of Physics 8 (1-2):123-129.
    The operator structures for the constants of the motion of the relativistic hydrogen atom are examined. ThoughJ 3 andJ · J are constants of the motion,J is not. Its replacement, $\tilde {\rm K}$ , is shown to emerge rather naturally in transforming the equation to spherical coordinates. The separation of variables is presented in hypercomplex number form. This leads to some interesting suggestions regarding the matter/antimatter operator for the Dirac equation.
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  12. James D. Edmonds Jr (1978). Parton Confinement: A Different Perspective. [REVIEW] Foundations of Physics 8 (9-10):793-795.
    Partons (quarks) are unobservable, it is suggested, because they have no well-defined rest-massconcept.
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  13. James D. Edmonds Jr (1974). Complex Energies in Relativistic Quantum Theory. Foundations of Physics 4 (4):473-479.
    A new four-component spin-1/2 wave equation for ordinary mass is discussed. It is shown that this equation has a conserved current not easily identified with a transition probability, only pure imaginary energy states, and is covariant. A tachyon-like Klein-Gordon equation is satisfied by this equation, but rest states are explicitly constructed.
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  14. H. J. Efinger (1989). Nonlinear Schrödinger Mechanics and the Law of Gravity. Foundations of Physics 19 (4):407-418.
    This paper is a study of the consequences that follow from modeling a nonlinear and nonrelativistic quantum theory for gravitating particles. At present there exists no relativistic generalizations that do not sacrifice certain assumptions which are standard in covariant field theories.
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  15. C. E. Engelke & C. W. Engelke (1986). The Effect of Localization on Interference. I. Calculated Intensities for a Feasible Optical Experiment. Foundations of Physics 16 (9):905-916.
    A simple geometry utilizing a laser-excited atomic beam as light source, and a nearby oscillating mirror, would permit the observation of a two-channel optical interference effect involving photons which can be localized predominantly in one channel by coincidence observations of the recoiling source atom. A sacrifice of the optimum conditions for photon interference is necessary even when photon localization in one channel is accomplished by an observation of the recoil atom. This necessity arises because the width of the slit defining (...)
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  16. Berthold-Georg Englert (1998). Classical Analogs of Unitarily Equivalent Hamilton Operators. Foundations of Physics 28 (3):375-384.
    A unitary transformation replaces the given description of a quantum system by an equivalent one. It is observed, however, that not all members of a set of unitarily equivalent Hamilton operators are equally well suited for identifying the corresponding classical systems. A criterion is proposed for recognizing the privileged representatives of the set. A few explicit examples are reported that show the criterion at work.
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  17. Charles P. Enz (1994). Hamiltonian Description and Quantization of Dissipative Systems. Foundations of Physics 24 (9):1281-1292.
    Dissipative systems are described by a Hamiltonian, combined with a “dynamical matrix” which generalizes the simplectic form of the equations of motion. Criteria for dissipation are given and the examples of a particle with friction and of the Lotka-Volterra model are presented. Quantization is first introduced by translating generalized Poisson brackets into commutators and anticommutators. Then a generalized Schrödinger equation expressed by a dynamical matrix is constructed and discussed.
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  18. A. B. Evans (1998). On Expected Values and “Negative Probability” in 4-Space QED. Foundations of Physics 28 (2):291-306.
    A proposed 4-space Dirac theory requires modified definitions of expected value and Hermitian operator, because the charge density is not positive definite. However, this does not imply negative probability.
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  19. A. B. Evans (1991). Klein's Paradox in a Four-Space Formulation of Dirac's Equation. Foundations of Physics 21 (6):633-647.
    A 4-space formulation of Dirac's equation gives results formally identical to those of the usual Klein paradox. However, some extra physical detail can be inferred, and this suggests that the most extreme case involves pair production within the potential barrier.
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  20. John R. Fanchi & Weldon J. Wilson (1983). Relativistic Many-Body Systems: Evolution-Parameter Formalism. [REVIEW] Foundations of Physics 13 (6):571-605.
    The complexity of the field theoretic methods used for analyzing relativistic bound state problems has forced researchers to look for simpler computational methods. Simpler methods such as the relativistic harmonic oscillator method employed in the description of extended hadrons have been investigated. They are considered phenomenological, however, because they lack a theoretical basis. A probabilistic basis for these methods is presented here in terms of the four-space formulation of relativistic quantum mechanics (FSF). The single-particle FSF is reviewed and its physical (...)
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  21. Thomas Filk & Hartmann Römer (2011). Generalized Quantum Theory: Overview and Latest Developments. [REVIEW] Axiomathes 21 (2):211-220.
    The main formal structures of generalized quantum theory are summarized. Recent progress has sharpened some of the concepts, in particular the notion of an observable, the action of an observable on states (putting more emphasis on the role of proposition observables), and the concept of generalized entanglement. Furthermore, the active role of the observer in the structure of observables and the partitioning of systems is emphasized.
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  22. Felix Finster & Christian Hainzl (2010). Quantum Oscillations Can Prevent the Big Bang Singularity in an Einstein-Dirac Cosmology. Foundations of Physics 40 (1):116-124.
    We consider a spatially homogeneous and isotropic system of Dirac particles coupled to classical gravity. The dust and radiation dominated closed Friedmann-Robertson-Walker space-times are recovered as limiting cases. We find a mechanism where quantum oscillations of the Dirac wave functions can prevent the formation of the big bang or big crunch singularity. Thus before the big crunch, the collapse of the universe is stopped by quantum effects and reversed to an expansion, so that the universe opens up entering a new (...)
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  23. Robert G. Flower, Conference on the Foundations of Quantum Mechanics.
    Enormous and significant progress has been made in the important areas of entanglement, quantum computing and harnessing energy from the vacuum, which includes a sound theoretical basis, using the Einstein-Sachs theories to develop an anti-symmetric general relativity (AGR) approach to a higher topology O(3) electrodynamics. These developments also lead to the application of the Aharonov-Bohm effect and the Yang-Mills theory to the higher topology O(3) electrodynamics, as well as a deeper understanding and appreciation of these effects and their impact on (...)
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  24. H. M. Fried (2000). New Thoughts About an Old Eikonal Problem. Foundations of Physics 30 (4):529-532.
    Two different methods of approach, currently under investigation, are suggested for calculating the eikonal function corresponding to quark-quark scattering at very high energies and small momentum transfers. These methods illustrate the realistic, dynamical complexities inherent in QCD scattering problems.
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  25. Todd Gilmore Jr & James Park (1979). Superselection Rules in Quantum Theory: Part I. A New Proposal for State Restriction Violation. [REVIEW] Foundations of Physics 9 (7-8):537-556.
    It is argued that preparation of a quantum state characterized by density operator ρ not commuting with a superselection operatorQ does not by itself constitute an instance of superselection rule violation. It would, however, be an instance of state restriction violation. It is held that superselection rule violation is only possible with simultaneous observable and state restriction violations. It is shown that it is a priori conceivable to subdivide an ensemble whose ρ satisfies[ρ, Q] = 0 into subensembles whose density (...)
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  26. Todd Gilmore Jr & James L. Park (1979). Superselection Rules in Quantum Theory: Part II. Subensemble Selection. [REVIEW] Foundations of Physics 9 (9-10):739-749.
    A dynamical analysis of standard procedures for subensemble selection is used to show that the state restriction violation proposal in Part I of the paper cannot be realized by employing familiar correlation schemes. However, it is shown that measurement of an observable not commuting with the superselection operator is possible, a violation of the observable restrictions. This is interpreted as supporting the position that each of these restrictions is sufficient but not necessary for the superselection rule. The results do constitute (...)
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  27. StanisŁaw Goldstein, Andrzej Łuczak & Ivan F. Wilde (1999). Independence in Operator Algebras. Foundations of Physics 29 (1):79-89.
    Various notions of independence of observables have been proposed within the algebraic framework of quantum field theory. We discuss relationships between these and the recently introduced notion of logical independence in a general operator-algebraic context. We show that C*-independence implies an analogue of classical independence.
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  28. O. W. Greenberg (2006). Why is Mathcal{CPT} Fundamental? Foundations of Physics 36 (10):1535-1553.
    Lüders and Pauli proved the $\mathcal{CPT}$ theorem based on Lagrangian quantum field theory almost half a century ago. Jost gave a more general proof based on “axiomatic” field theory nearly as long ago. The axiomatic point of view has two advantages over the Lagrangian one. First, the axiomatic point of view makes clear why $\mathcal{CPT}$ is fundamental—because it is intimately related to Lorentz invariance. Secondly, the axiomatic proof gives a simple way to calculate the $\mathcal{CPT}$ transform of any relativistic field (...)
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  29. O. W. Greenberg (2004). Book Review: Quantum Field Theory in a Nutshell. By A. Zee, Princeton University Press, Princeton, NJ, 2003, ISBN: 0-691-01019-6, Xv+518 Pp. $49.50 (Hardcover). [REVIEW] Foundations of Physics 34 (1):187-188.
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  30. Daniel Greenberger (2001). Book Review: Conceptual Foundations of Quantum Physics: An Overview From Modern Perspectives. By Dipankar Home. Plenum Publishing Corporation, New York, New York, 1997, Xvii + 386 Pp., $167.00 (Hardcover). ISBN 0-306-45660-5. [REVIEW] Foundations of Physics 31 (5):855-857.
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  31. Daniel Greenberger (2001). Book Review: New Developments on Fundamental Problems in Quantum Physics. By Miguel Ferrero and Alwyn van der Merwe, Eds. Kluwer Academic Publishers, Dordrecht, The Netherlands, 1997. [REVIEW] Foundations of Physics 31 (3):557-559.
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  32. Stanley Gudder (1994). Toward a Rigorous Quantum Field Theory. Foundations of Physics 24 (9):1205-1225.
    This paper outlines a framework that may provide a mathematically rigorous quantum field theory. The framework relies upon the methods of nonstandard analysis. A theory of nonstandard inner product spaces and operators on these spaces is first developed. This theory is then applied to construct nonstandard Fock spaces which extend the standard Fock spaces. Then a rigorous framework for the field operators of quantum field theory is presented. The results are illustrated for the case of Klein-Gordon fields.
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  33. L. P. Horwitz & N. Shnerb (1998). Second Quantization of the Stueckelberg Relativistic Quantum Theory and Associated Gauge Fields. Foundations of Physics 28 (10):1509-1519.
    The gauge compensation fields induced by the differential operators of the Stueckelberg-Schrödinger equation are discussed, as well as the relation between these fields and the standard Maxwell fields; An action is constructed and the second quantization of the fields carried out using a constraint procedure. The properties of the second quantized matter fields are discussed.
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  34. Yuichiro Kitajima (2013). EPR States and Bell Correlated States in Algebraic Quantum Field Theory. Foundations of Physics 43 (10):1182-1192.
    A mathematical rigorous definition of EPR states has been introduced by Arens and Varadarajan for finite dimensional systems, and extended by Werner to general systems. In the present paper we follow a definition of EPR states due to Werner. Then we show that an EPR state for incommensurable pairs is Bell correlated, and that the set of EPR states for incommensurable pairs is norm dense between two strictly space-like separated regions in algebraic quantum field theory.
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  35. Douglas Kutach (2010). A Connection Between Minkowski and Galilean Space-Times in Quantum Mechanics. International Studies in the Philosophy of Science 24 (1):15 – 29.
    Relativistic quantum theories are equipped with a background Minkowski spacetime and non-relativistic quantum theories with a Galilean space-time. Traditional investigations have distinguished their distinct space-time structures and have examined ways in which relativistic theories become sufficiently like Galilean theories in a low velocity approximation or limit. A different way to look at their relationship is to see that both kinds of theories are special cases of a certain five-dimensional generalization involving no limiting procedures or approximations. When one compares them, striking (...)
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  36. M. M. Lam & C. Dewdney (1994). The Bohm Approach to Cavity Quantum Scalar Field Dynamics. Part I: The Free Field. [REVIEW] Foundations of Physics 24 (1):3-27.
    Bohm 's approach to quantum field theory is illustrated through its application to cavity quantum scalar field dynamics. Specific calculations demonstrate how the evolution of the well-defined scalar field is governed by the nature of its quantum state. The implications of the nonlocality inherent in quantum mechanics and the meaning of the classical limit are discussed in this context.
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  37. M. M. Lam & C. Dewdney (1994). The Bohm Approach to Cavity Quantum Scalar Field Dynamics. Part II: The Interaction of the Field with Matter. [REVIEW] Foundations of Physics 24 (1):29-60.
    The deterministic process of the detection of a single quantum of energy in Bohm's approach to quantum field theory is illustrated using the Jaynes-Cummings model with a scalar field. The nonlocality of differing quantum states of the scalar field is also explored, and this description is compared with the causal picture of an unquantized field acting on the detector.
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  38. Vincent Lam & Michael Esfeld (2012). The Structural Metaphysics of Quantum Theory and General Relativity. Journal for General Philosophy of Science 43 (2):243-258.
    The paper compares ontic structural realism in quantum physics with ontic structural realism about space–time. We contend that both quantum theory and general relativity theory support a common, contentful metaphysics of ontic structural realism. After recalling the main claim of ontic structural realism and its physical support, we point out that both in the domain of quantum theory and in the domain of general relativity theory, there are objects whose essential ways of being are certain relations so that these objects (...)
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  39. Alfred Landé (1971). Unity in Quantum Theory. Foundations of Physics 1 (3):191-202.
    After a brief survey of arguments for a unitary particle theory of matter, offered by the writer in previous publications, the following new items are discussed. (1) The wave part of the dual aspect of matter, resting on the translation formula λ=h/p, is not covariant in the nonrelativistic domain. And relativistically, it is untenable not only on methodological grounds, but because it leads to obvious contradictions to elementary experience, e.g., in the equilibrium between a material oscillator and radiation. (2) The (...)
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  40. V. J. Lee (1982). Physical Foundations of Quantum Theory: Stochastic Formulation and Proposed Experimental Test—Addendum and Erratum. [REVIEW] Foundations of Physics 12 (8):813-819.
    The Addendum of this note presents a brief perspective and an additional development pertaining to a previous paper. The even forceK n as well as the odd forceK 0 of the time-inversion-covariant (TIC) equation of motion in the presence of a magnetic field are derived from the results of the previous paper by a hint of generalization in classical physics. Then, by following identical steps as in the previous paper, the Addendum completes the derivation of the stochastic Hamilton-Jacobi and the (...)
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  41. P. A. Marchetti (2010). Spin-Statistics Transmutation in Quantum Field Theory. Foundations of Physics 40 (7):746-764.
    Spin-statistics transmutation is the phenomenon occurring when a “dressing” transformation introduced for physical reasons (e.g. gauge invariance) modifies the “bare” spin and statistics of particles or fields. Historically, it first appeared in Quantum Mechanics and in semiclassical approximation to Quantum Field Theory. After a brief historical introduction, we sketch how to describe such phenomenon in Quantum Field Theory beyond the semiclassical approximation, using a path-integral formulation of euclidean correlation functions, exemplifying with anyons, dyons and skyrmions.
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  42. Chris Mortensen (2003). In the Beginning. Erkenntnis 59 (2):141 - 156.
    In this paper, a survey is made of some of the contributionsto the interpretation of Hartle and Hawking's theory of thewave function of the universe and its beginning. It is arguedthat there are considerable difficulties with the interpretationof the theory, but that there is at least one interpretationhitherto not found in the literature which survives existingphilosophical objections.
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  43. F. A. Muller, Whither Away, Weakly.
    One of the reasons provided for the shift away from an ontology, for physical reality, of material objects & properties towards one of physical structures & relations (Ontological Structural Realism: OntSR) is that the quantum-mechanical description of composite physical systems of similar elementary particles entails they are indiscernible. As material objects, they ‘whither away’. We inquire into the question whether recent results esta- blishing the weak discernibility of elementary particles pose a threat for this quantum-mechanical reason for OntSR, because precisely (...)
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  44. Vladimir Naroditsky (1985). Field Operators and Their Spectral Properties in Finite-Dimensional Quantum Field Theory. Foundations of Physics 15 (3):319-331.
    In Ref. 1 we have considered the finite-dimensional quantum mechanics. There the quantum mechanical space of states wasV=C r. It is known that the second quantization of this space is the space of square-summable functions of finite number of variables(L 2(Rr,dx)) (Segal isomorphism). Creation and annihilation operators were introduced in Ref. 1, and the former coincided with the usual position and momentum operators in the conventional quantum mechanics. In this paper we shall investigate the spectral properties of field operators. We (...)
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  45. Eduard Prugovečki (1981). A Self-Consistent Approach to Quantum Field Theory for Extended Particles. Foundations of Physics 11 (5-6):355-382.
    A notion of quantum space-time is introduced, physically defined as the totality of all flows of quantum test particles in free fall. In quantum space-time the classical notion of deterministic inertial frames is replaced by that of stochastic frames marked by extended particles. The same particles are used both as markers of quantum space-time points as well as natural clocks, each species of quantum test particle thus providing a standard for space-time measurements. In the considered flat-space case, the fluctuations in (...)
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  46. Eduard Prugovečki (1981). General Aspects of Stochastic Quantum Field Theory for Extended Particles. Foundations of Physics 11 (7-8):501-527.
    Theories of free fields describing spin zero and1/2 extended particles are derived within the stochastic quantum field theory (SQFT) framework. Covariant SQFT analogs of free Schwinger functions and Feynman propagators are obtained, and explicit expressions for charge and four-momentum operators are derived which exhibit a remarkable formal resemblance to their local counterparts. It is shown that the essential results of the LSZ formalism for interacting fields also have their counterpart in SQFT, and that the same holds true of Wightman's reconstruction (...)
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  47. G. Puccini & H. Vucetich (2004). Axiomatic Foundations of Galilean Quantum Field Theories. Foundations of Physics 34 (2):263-295.
    A realistic axiomatic formulation of Galilean Quantum Field Theories is presented, from which the most important theorems of the theory can be deduced. In comparison with others formulations, the formal aspect has been improved by the use of certain mathematical theories, such as group theory and the theory of rigged Hilbert spaces. Our approach regards the fields as real things with symmetry properties. The general structure is analyzed and contrasted with relativistic theories.
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  48. Henry P. Stapp (2002). The 18-Fold Way. Foundations of Physics 32 (2):255-266.
    At least 18 nontrivial correct choices must be made to arrive at a “right understanding” of the world according to quantum theory.
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  49. M. Verschl & M. Sorg (2003). Relativistic Schrödinger Theory and the Hartree–Fock Approach. Foundations of Physics 33 (6):913-954.
    Within the framework of Relativistic Schrödinger Theory (RST), the scalar two-particle systems with electromagnetic interactions are treated on the basis of a non-Abelian gauge group U(2) which is broken down to the Abelian subgroup U(1)×U(1). In order that the RST dynamics be consistent with the (non-Abelian) Maxwell equations, there arises a compatibility condition which yields cross relationships for the links between the field strengths and currents of both particles such that self-interactions are eliminated. In the non-relativistic limit, the RST dynamics (...)
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  50. Tian-en Wang (2008). An Introduction to Micro-Epistemology. Proceedings of the Xxii World Congress of Philosophy 16:255-261.
    This paper is an introduction to micro-epistemology, philosophical reflection of "quantum wealth" as well as an anthropological analysis of the nature of human cognition in the scale of quantum. It covers the problems of the observation in and the trueness of micro-cognition, the perception of quantum phenomena, the relations between micro-cognition and practice as well as between macro-subject and micro-object, the descriptological turn in micro-cognition, the description of micro-world and some special descriptological problems in micro-cognition, etc. Micro-cognition, just as quantum (...)
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