dorsal/arxiv
View SchemaHydrodynamical interpretation of quantum mechanics: the momentum distribution
| Authors | Yuri A. Rylov |
|---|---|
| Categories | |
| ArXiv ID | physics/0402068 |
| URL | https://arxiv.org/abs/physics/0402068 |
Abstract
The quantum mechanics is considered to be a partial case of the stochastic system dynamics. It is shown that the wave function describes the state of statistically averaged system $<\mathcal{S}_{st}>$, but not that of the individual stochastic system $\mathcal{S}_{st}$. It is a common practice to think that such a construction of quantum mechanics contains hidden variables, and it is incompatible with the von Neumann's theorem on hidden variables. It is shown that the original conditions of the von Neumann's theorem are not satisfied. In particular, the quantum mechanics cannot describe the particle momentum distribution. The distribution $w(\mathbf{p}) =| \psi_{p%}| ^{2}$ is not a particle momentum distribution at the state $\psi $, because it cannot be attributed to a wave function. It is closer to the mean momentum distribution, although the two distributions do not coincide exactly.
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"abstract": "The quantum mechanics is considered to be a partial case of the stochastic\nsystem dynamics. It is shown that the wave function describes the state of\nstatistically averaged system $\u003c\\mathcal{S}_{st}\u003e$, but not that of the\nindividual stochastic system $\\mathcal{S}_{st}$. It is a common practice to\nthink that such a construction of quantum mechanics contains hidden variables,\nand it is incompatible with the von Neumann\u0027s theorem on hidden variables. It\nis shown that the original conditions of the von Neumann\u0027s theorem are not\nsatisfied. In particular, the quantum mechanics cannot describe the particle\nmomentum distribution. The distribution $w(\\mathbf{p}) =| \\psi_{p%}| ^{2}$ is\nnot a particle momentum distribution at the state $\\psi $, because it cannot be\nattributed to a wave function. It is closer to the mean momentum distribution,\nalthough the two distributions do not coincide exactly.",
"arxiv_id": "physics/0402068",
"authors": [
"Yuri A. Rylov"
],
"categories": [
"physics.gen-ph"
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"title": "Hydrodynamical interpretation of quantum mechanics: the momentum distribution",
"url": "https://arxiv.org/abs/physics/0402068"
},
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