dorsal/arxiv
View SchemaQuantum mechanics needs no interpretation
| Authors | L. Skala, V. Kapsa |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0412175 |
| URL | https://arxiv.org/abs/quant-ph/0412175 |
Abstract
Probabilistic description of results of measurements and its consequences for understanding quantum mechanics are discussed. It is shown that the basic mathematical structure of quantum mechanics like the probability amplitude, Born rule, probability density current, commutation relations, momentum operator, uncertainty relations, rules for including the scalar and vector potentials and existence of antiparticles can be derived from the definition of the mean values of the space coordinates and time. Equations of motion of quantum mechanics, the Klein-Gordon equation, Schroedinger equation and Dirac equation are obtained from requirement of the relativistic invariance of the theory. Limit case of localized probability densities leads to the Hamilton-Jacobi equation of classical mechanics. Many particle systems are also discussed.
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"abstract": "Probabilistic description of results of measurements and its consequences for\nunderstanding quantum mechanics are discussed. It is shown that the basic\nmathematical structure of quantum mechanics like the probability amplitude,\nBorn rule, probability density current, commutation relations, momentum\noperator, uncertainty relations, rules for including the scalar and vector\npotentials and existence of antiparticles can be derived from the definition of\nthe mean values of the space coordinates and time. Equations of motion of\nquantum mechanics, the Klein-Gordon equation, Schroedinger equation and Dirac\nequation are obtained from requirement of the relativistic invariance of the\ntheory. Limit case of localized probability densities leads to the\nHamilton-Jacobi equation of classical mechanics. Many particle systems are also\ndiscussed.",
"arxiv_id": "quant-ph/0412175",
"authors": [
"L. Skala",
"V. Kapsa"
],
"categories": [
"quant-ph"
],
"title": "Quantum mechanics needs no interpretation",
"url": "https://arxiv.org/abs/quant-ph/0412175"
},
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