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Open Quantum Systems Decoherence Quantum Simulation

High-energy asymptotic expansion of the Green function for one-dimensional Fokker-Planck and Schrödinger equations

arXiv

Authors: Toru Miyazawa

Year

2011

Paper ID

31021

Status

Preprint

Abstract Read

~2 min

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Abstract

A new formalism is presented for high-energy analysis of the Green function for Fokker-Planck and Schrödinger equations in one dimension. Formulas for the asymptotic expansion in powers of the inverse wave number are derived, and conditions for the validity of the expansion are studied through the analysis of the remainder term. The short-time expansion of the Green function is also discussed.

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A new formalism is presented for high-energy analysis of the Green function for Fokker-Planck and Schrödinger equations in one dimension.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1112.5835 [2] arXiv https://arxiv.org/abs/1112.5835 [3] Publisher https://arxiv.org/abs/1112.5835

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