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Open Quantum Systems Decoherence
Quantum Simulation
Low-energy expansion formula for one-dimensional Fokker-Planck and Schrödinger equations with periodic potentials
arXiv
Authors: Toru Miyazawa
Year
2011
Paper ID
31019
Status
Preprint
Abstract Read
~2 min
Abstract Words
48
Citations
N/A
Abstract
We study the low-energy behavior of the Green function for one-dimensional Fokker-Planck and Schrödinger equations with periodic potentials. We derive a formula for the power series expansion of reflection coefficients in terms of the wave number, and apply it to the low-energy expansion of the Green function.
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- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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- We study the low-energy behavior of the Green function for one-dimensional Fokker-Planck and Schrödinger equations with periodic potentials.
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