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INTERPRETATION OF ELECTRODYNAMICS AS A CONSEQUENCE OF QUANTUM THEORY.

Ya. B. Zel’dovich

Jan 1, 196762 citations

Davida Bohma teoria zmiennych ukrytych

Tadeusz Pabjan

One of the most important interpretative problems of quantum mechanics concerns the so called hidden variables. Sometimes it is said that the Bell's theorem falsifies theories of such variables, but in fact, it falsifies only local ones. This paper deals with David Bohm's interpretation of quantum mechanics, which is a kind of nonlocal hidden variable theory. This theory delivers a full deterministic and realistic description of quantum phenomena and predicts the same results as standard quantum mechanics. It is argued that this interpretation is still worth being investigated, because it remains in the full agreement with the mathematical formalism of this theory and it surpasses the standard interpretation as far as simplicity and lack of arbitrary assumptions are concerned.One of the most important interpretative problems of quantum mechanics concerns the so called hidden variables. Sometimes it is said that the Bell's theorem falsifies theories of such variables, but in fact, it falsifies only local ones. This paper deals with David Bohm's interpretation of quantum mechanics, which is a kind of nonlocal hidden variable theory. This theory delivers a full deterministic and realistic description of quantum phenomena and predicts the same results as standard quantum mechanics. It is argued that this interpretation is still worth being investigated, because it remains in the full agreement with the mathematical formalism of this theory and it surpasses the standard interpretation as far as simplicity and lack of arbitrary assumptions are concerned.

Philosophical Problems in Science (Zagadnienia Filozoficzne w Nauce)Jun 2, 20090 citations

Probability And Randomness: Quantum Versus Classical

Andrei Yu. Khrennikov

"Creating a rigorous mathematical theory of randomness is far from being complete, even in the classical case. Interrelation of Classical and Quantum Randomness rectifies this and introduces mathematical formalisms of classical and quantum probability and randomness with brief discussion of their interrelation and interpretational and foundational issues. The book presents the essentials of classical approaches to randomness, enlightens their successes and problems, and then proceeds to essentials of quantum randomness. Its wide-ranging and comprehensive scope makes it suitable for researchers in mathematical physics, probability and statistics at any level"--"Creating a rigorous mathematical theory of randomness is far from being complete, even in the classical case. Interrelation of Classical and Quantum Randomness rectifies this and introduces mathematical formalisms of classical and quantum probability and randomness with brief discussion of their interrelation and interpretational and foundational issues. The book presents the essentials of classical approaches to randomness, enlightens their successes and problems, and then proceeds to essentials of quantum randomness. Its wide-ranging and comprehensive scope makes it suitable for researchers in mathematical physics, probability and statistics at any level"--

Mar 3, 201634 citations

Problems of interpretation of quantum electrodynamics

L. Rosenfeld

PhysicaJan 1, 19531 citation

On a Formulation of Quantum Electrodynamics

Jean G. Valatin

Physical ReviewAug 15, 19510 citations

A study of Aharonov-Bohm effect: from quantum electrodynamics to one particle quantum mechanics

Benliang Li, Daniel William Hewak, Qi Jie Wang

In this article, we start our discussion on the Aharonov-Bohm effect then raise a plausible interpretation within the quantum electrodynamics (QED) framework. We provide a quantum treatment of the source of the electromagnetic potential and argue that the underlying mechanism in AB effect can be viewed as interactions between electrons described by QED theory where the interactions are mediated by virtue photons. On further analysis, we claim that the framework of one particle quantum mechanics (OPQM) can be shown, in general, as a mathematically approximated model which can be reformulated from QED theory. In addition, the classical Maxwell equations are derived from QED scattering process while both classical electromagnetic fields and potentials serve as mathematical tools that are constructed to approximate the interactions among elementary particles described by QED physics, i.e. neither classical fields nor potentials represent any real entities of nature. At the conclusion of this article, we make a few remarks on the hypnosis of the existence of magnetic monopoles.In this article, we start our discussion on the Aharonov-Bohm effect then raise a plausible interpretation within the quantum electrodynamics (QED) framework. We provide a quantum treatment of the source of the electromagnetic potential and argue that the underlying mechanism in AB effect can be viewed as interactions between electrons described by QED theory where the interactions are mediated by virtue photons. On further analysis, we claim that the framework of one particle quantum mechanics (OPQM) can be shown, in general, as a mathematically approximated model which can be reformulated from QED theory. In addition, the classical Maxwell equations are derived from QED scattering process while both classical electromagnetic fields and potentials serve as mathematical tools that are constructed to approximate the interactions among elementary particles described by QED physics, i.e. neither classical fields nor potentials represent any real entities of nature. At the conclusion of this article, we make a few remarks on the hypnosis of the existence of magnetic monopoles.

Jul 12, 20162 citations

Quantum Electrodynamics

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Quantum Electrodynamics

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