Nonlinear Schr\"odinger equations from prequantum classical statistical field theory
Quantum Physics
2009-11-13 v2
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.
Cite
@article{arxiv.quant-ph/0602210,
title = {Nonlinear Schr\"odinger equations from prequantum classical statistical field theory},
author = {Andrei Khrennikov},
journal= {arXiv preprint arXiv:quant-ph/0602210},
year = {2009}
}
Comments
Links to theory of nonlinear Schrodinger equation; new model of physical space: Infinite-Dimensional Physical Space