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Open Quantum Systems Decoherence

Low-energy expansion formula for one-dimensional Fokker-Planck and Schrödinger equations with asymptotically periodic potentials

arXiv
Authors: Toru Miyazawa

Year

2011

Paper ID

31017

Status

Preprint

Abstract Read

~2 min

Abstract Words

51

Citations

N/A

Abstract

We consider one-dimensional Fokker-Planck and Schrödinger equations with a potential which approaches a periodic function at spatial infinity. We extend the low-energy expansion method, which was introduced in previous papers, to be applicable to such asymptotically periodic cases. Using this method, we study the low-energy behavior of the Green function.

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  • This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
  • It adds a 2011 reference point for readers tracking recent quantum research.
  • We consider one-dimensional Fokker-Planck and Schrödinger equations with a potential which approaches a periodic function at spatial infinity.

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