Nonlinear Schrödinger equations from prequantum classical statistical field theory

Details Nonlinear Schrödinger equations from prequantum classical statistical field theory Nonlinear Schrödinger equations from prequantum classical statistical field theory

2006-02-25

arxiv.org/abs/quant-ph/0602210v2

Physics

Quantum Physics

Links to theory of nonlinear Schrodinger equation; new model of physical space: Infinite-Dimensional Physical Space

Scientific paper

10.1016/j.physleta.2006.04.046

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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