The Experts below are selected from a list of 210 Experts worldwide ranked by ideXlab platform
Jeffrey A. Barrett - One of the best experts on this subject based on the ideXlab platform.
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Typicality in Pure Wave Mechanics
Fluctuation and Noise Letters, 2016Co-Authors: Jeffrey A. BarrettAbstract:Hugh Everett III's pure Wave Mechanics is a deterministic physical theory with no probabilities. He nevertheless sought to show how his theory might be understood as making the same statistical predictions as the standard collapse formulation of quantum Mechanics. We will consider Everett's argument for pure Wave Mechanics, how it depends on the notion of branch typicality, and the relationship between the predictions of pure Wave Mechanics and the standard quantum probabilities.
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Pure Wave Mechanics and the very idea of empirical adequacy
Synthese, 2015Co-Authors: Jeffrey A. BarrettAbstract:Hugh Everett III proposed his relative-state formulation of pure Wave Mechanics as a solution to the quantum measurement problem. He sought to address the theory’s determinate record and probability problems by showing that, while counterintuitive, pure Wave Mechanics was nevertheless empirically faithful and hence empirical acceptable. We will consider what Everett meant by empirical faithfulness. The suggestion will be that empirical faithfulness is well understood as a weak variety of empirical adequacy. The thought is that the very idea of empirical adequacy might be renegotiated in the context of a new physical theory given the theory’s other virtues. Everett’s argument for pure Wave Mechanics provides a concrete example of such a renegotiation.
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on the faithful interpretation of pure Wave Mechanics
The British Journal for the Philosophy of Science, 2011Co-Authors: Jeffrey A. BarrettAbstract:Given Hugh Everett III’s understanding of the proper cognitive status of physical theories, his relative-state formulation of pure Wave Mechanics arguably qualifies as an empirically acceptable physical theory. The argument turns on the precise nature of the relationship that Everett requires between the empirical substructure of an empirically faithful physical theory and experience. On this view, Everett provides a weak resolution to both the determinate record and the probability problems encountered by pure Wave Mechanics, and does so in a way that avoids unnecessary metaphysical complications. Taking Everett’s goal to be showing the empirical faithfulness of the relative-state formulation agrees well with his characterization of his project as one of seeking a model for observation in the correlation structure described by pure Wave Mechanics and seeking a measure of typicality over this empirical substructure that covaries with our empirically warranted expectations.
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everett s pure Wave Mechanics and the notion of worlds
European journal for philosophy of science, 2011Co-Authors: Jeffrey A. BarrettAbstract:Everett (1957a, b, 1973) relative-state formulation of quantum Mechanics has often been taken to involve a metaphysical commitment to the existence of many splitting worlds each containing physical copies of observers and the objects they observe. While there was earlier talk of splitting worlds in connection with Everett, this is largely due to DeWitt’s (Phys Today 23:30–35, 1970) popular presentation of the theory. While the thought of splitting worlds or parallel universes has captured the popular imagination, Everett himself favored the language of elements, branches, or relative states in describing his theory. The result is that there is no mention of splitting worlds or parallel universes in any of Everett’s published work. Everett, however, did write of splitting observers and was willing to adopt the language of many worlds in conversation with people who were themselves using such language. While there is evidence that Everett was not entirely comfortable with talk of many worlds, it does not seem to have mattered much to him what language one used to describe pure Wave Mechanics. This was in part a result of Everett’s empirical understanding of the cognitive status of his theory.
Ole Keller - One of the best experts on this subject based on the ideXlab platform.
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Photon physics: from Wave Mechanics to quantum electrodynamics
Photon Counting Applications Quantum Optics and Quantum Information Transfer and Processing II, 2009Co-Authors: Ole KellerAbstract:When rewritten in an appropriate manner, the microscopic Maxwell-Lorentz equations appear as a Wave-mechanical theory for photons, and their quantum physical interaction with matter. A natural extension leads from photon Wave Mechanics to quantum electrodynamics (QED). In its modern formulation photon Wave Mechanics has given us valuable new insight in subjects such as spatial photon localization, near-field photon dynamics, transverse photon mass, photon eikonal theory, photon tunneling, and rim-zone electrodynamics. The present review is based on my plenary lecture at the SPIE-Europe 2009 Optics and Optoelectronics International Symposium in Prague.
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Photon Wave Mechanics
arXiv: Quantum Physics, 2007Co-Authors: Zhi-yong Wang, Cai-dong Xiong, Ole KellerAbstract:In contrast to Wave functions in nonrelativistic quantum Mechanics interpreted as probability amplitudes, Wave functions in relativistic quantum Mechanics have generalized meanings such as charge-density amplitudes, energy-density amplitudes as well as particle-number density amplitudes, etc. Applying electromagnetic field intensities we construct a photon Wave function, it corresponds to the (1,0)+(0,1) spinor representation of the electromagnetic field, and can be interpreted as the energy-density amplitude of photons outside a source. In terms of photon Wave functions we develop photon Wave Mechanics, which provides us with a new quantum-mechanical description for photons outside a source.
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Near-field optics in the perspective of photon Wave Mechanics
Journal of the Korean Physical Society, 2005Co-Authors: Ole KellerAbstract:Elements of a generalized theory describing the near-field source problem of photon Wave Mechanics is presented. A flexible construction of the Riemann-Silberstein vectors, which enter the photon energy Wave function concept, is established on the basis of the microscopic D-field. By adjustment of the transverse polarization field the global energy of the field-particle system can be shared in various manners between the photon and matter subsystems. Only the near-field part of the photon energy Wave function is affected by a given adjustment, and no observable consequences will appear. The flexibility of the construction scheme allows one to make the bridge between classical and quantum near-field optics in a variety of ways.
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OPTICAL NEAR-FIELD INTERACTION ON THE BASIS OF PHOTON Wave Mechanics
Journal of Nonlinear Optical Physics & Materials, 2003Co-Authors: Ole KellerAbstract:Near-field optical aspects of classical electrodynamics are brought into focus by dividing the electromagnetic field into its transverse and longitudinal vector-field parts. A transverse electromagnetic propagator formalism thereafter is used to study the field-matter interaction in the transverse current density domain, the birth domain of the photon. Subsequently, a brief summary of photon Wave Mechanics, the first-quantized theory of the photon, is given, paying particular attention to the dynamics in the near-field zone of matter (atom, molecule, mesoscopic particle). In the wake of a discussion of the relativistic transformation properties of the covariant photon field matrix the photon energy Wave function is introduced. In a central section, photon Wave Mechanics and near-field optics are brought in contact, and the photon embryo state, the polychromatic photon concept, and the quantum mechanical theory for the transverse one-photon current density discussed.
M G Raymer - One of the best experts on this subject based on the ideXlab platform.
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two photon Wave Mechanics
Physical Review A, 2006Co-Authors: Brian J Smith, M G RaymerAbstract:The position-representation Wave function for multiphoton states and its equation of motion are introduced. A major strength of the theory is that it describes the complete evolution (including polarization and entanglement) of multiphoton states propagating through inhomogeneous media. As a demonstration of the two-photon Wave function's use, we show how two photons in an orbital-angular-momentum entangled state decohere upon propagation through a turbulent atmosphere.
Louis De Broglie - One of the best experts on this subject based on the ideXlab platform.
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Probabilistic Interpretation of Wave Mechanics
Heisenberg’s Uncertainties and the Probabilistic Interpretation of Wave Mechanics, 1990Co-Authors: Louis De BroglieAbstract:We have obtained the general equations of Wave Mechanics. Now we must learn how to use them and, in particular, what meaning to attribute to the function ψ.
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Principles of Wave Mechanics
Heisenberg’s Uncertainties and the Probabilistic Interpretation of Wave Mechanics, 1990Co-Authors: Louis De BroglieAbstract:We are going to summarize the general principles of Wave Mechanics for the case of a given particle that is acted on by a force field derived from a known potential function V (x, y, z, t). One should start by recalling some broad features of the classical Mechanics of a point mass.
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Recalling the General Concepts of Wave Mechanics
Heisenberg’s Uncertainties and the Probabilistic Interpretation of Wave Mechanics, 1990Co-Authors: Louis De BroglieAbstract:Notes of the editors (S. D., D. F., and G. L. The author would certainly have rewritten this chapter, which contains numerous repetitions of aspects dealt with in the first part of the present book because the corresponding lectures were delivered in separate years. We have taken it upon ourselves to suppress certain passages: pp. 34–42 (of the manuscript), which would have repeated the chapter “General Formalism of Wave Mechanics”; pp. 42–47, which would have taken us back to “General Principles of the Probabilistic Interpretation of Wave Mechanics”; pp. 48 and 49, which would have summarized the uncertainty relations; pp. 50–59 which would have duplicated the section “The Algebraic Matrices and their Properties”; pp. 60–64, which would again have given the “Precise Form of the Uncertainty Relations” and the “Angular Momentum in Wave Mechanics.” We have almost completely suppressed pp. 65–70, which would have restated the chapter “Wave Mechanics of a System of Particles,” but we have extracted from it a remark concerning configuration space (p. 69 of the manuscript), which we shall reintroduce further on in the form of a note, while specifying its origin. Finally, the deleted pp. 78 and 79 would have returned us to the commutation problem for operators, which was already discussed above. What we have retained of the original chapter is not free of repetitions, but it complements the first part of the present book and especially traces the evolution of the author’s thoughts on the subjects there introduced.
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General Formalism of Wave Mechanics
Heisenberg’s Uncertainties and the Probabilistic Interpretation of Wave Mechanics, 1990Co-Authors: Louis De BroglieAbstract:We are now going to adopt a different point of view and develop the general principles of Wave Mechanics from a more formal perspective. If our presentation were to be given with extreme mathematical rigor, it would be necessary often to introduce quite complex mathematical considerations, and some points will anyway still remain in doubt.
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General Principles of the Probabilistic Interpretation of Wave Mechanics
Heisenberg’s Uncertainties and the Probabilistic Interpretation of Wave Mechanics, 1990Co-Authors: Louis De BroglieAbstract:Wave Mechanics must enable us to calculate the eigenvalues of the measurable quantities (or observables) belonging to a particle (or, by a natural generalization, to a system). But it represents the state of a particle (or, more exactly, the state of our knowledge about a particle) by a Wave function ψ(x, y, z, t), a solution of the propagation equation, a function which we always assume to be normalized. Furthermore, it associates with every measurable quantity belonging to a particle a linear Hermitian operator, which allows one to define an ensemble of real numbers, its eigenvalues, and a complete system of functions, its eigenfunctions. We are thus in a position to formulate the two fundamental principles for the physical formulation of Wave Mechanics:
Lifeng Kang - One of the best experts on this subject based on the ideXlab platform.
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Unified Description of Matrix Mechanics and Wave Mechanics I.
arXiv: General Physics, 2020Co-Authors: Yongqin Wang, Lifeng KangAbstract:In this article, we discard the bra-ket notation and its correlative definitions, given by Paul Dirac. The quantum states are only described by the Wave functions. The fundamental concepts and definitions in quantum Mechanics is simplified. The operator, Wave functions and square matrix are represented in the same expression which directly corresponds to the system of equations without additional introduction of the matrix representation of operator. It can make us to convert the operator relations into the matrix relations. According to the relations between the matrices, the matrix elements will be determined. Furthermore, the first order differential equations will be given to find the solution of equations. As a result, we unified the descriptions of the matrix Mechanics and the Wave Mechanics.
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Unified Description of Matrix Mechanics and Wave Mechanics on Hydrogen Atom
arXiv: General Physics, 2011Co-Authors: Yongqin Wang, Lifeng KangAbstract:A new mathematical method is established to represent the operator, Wave functions and square matrix in the same representation. We can obtain the specific square matrices corresponding to the angular momentum and Runge-Lenz vector operators with invoking assistance from the operator relations and the orthonormal Wave functions. Furthermore, the first order differential equations will be given to deduce the specific Wave functions without using the solution of the Schrodinger equation which is the second order differential equation. As a result, we will unify the descriptions of the matrix Mechanics and the Wave Mechanics on hydrogen atom.
