dorsal/arxiv
View SchemaNonlinear Schr\"odinger equations from prequantum classical statistical field theory
| Authors | Andrei Khrennikov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0602210 |
| URL | https://arxiv.org/abs/quant-ph/0602210 |
| DOI | 10.1016/j.physleta.2006.04.046 |
Abstract
We derive some important features of the standard quantum mechanics from a certain classical-like model -- prequantum classical statistical field theory, PCSFT. In this approach correspondence between classical and quantum quantities is established through asymptotic expansions. PCSFT induces not only linear Schr\"odinger's equation, but also its {\it nonlinear generalizations.} This coupling with ``nonlinear wave mechanics'' is used to evaluate the small parameter of PCSFT.
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"abstract": "We derive some important features of the standard quantum mechanics from a\ncertain classical-like model -- prequantum classical statistical field theory,\nPCSFT. In this approach correspondence between classical and quantum quantities\nis established through asymptotic expansions. PCSFT induces not only linear\nSchr\\\"odinger\u0027s equation, but also its {\\it nonlinear generalizations.} This\ncoupling with ``nonlinear wave mechanics\u0027\u0027 is used to evaluate the small\nparameter of PCSFT.",
"arxiv_id": "quant-ph/0602210",
"authors": [
"Andrei Khrennikov"
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"doi": "10.1016/j.physleta.2006.04.046",
"title": "Nonlinear Schr\\\"odinger equations from prequantum classical statistical field theory",
"url": "https://arxiv.org/abs/quant-ph/0602210"
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