Nonlinear Schrödinger equations from prequantum classical statistical field theory
arXiv: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 Schrödinger's equation, but also its {\it nonlinear generalizations.} This coupling with ``nonlinear wave mechanics'' is used to evaluate the small parameter of PCSFT.
Links to theory of nonlinear Schrodinger equation; new model of physical space: Infinite-Dimensional Physical Space
References in corpus (1)
Cited by in corpus (4)
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