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Open Quantum Systems Decoherence
Quantum Simulation
Quasi-exactly solvable Fokker-Planck equations
arXiv
Authors: Choon-Lin Ho, Ryu Sasaki
Year
2007
Paper ID
50394
Status
Preprint
Abstract Read
~2 min
Abstract Words
74
Citations
N/A
Abstract
We consider exact and quasi-exact solvability of the one-dimensional Fokker-Planck equation based on the connection between the Fokker-Planck equation and the Schrödinger equation. A unified consideration of these two types of solvability is given from the viewpoint of prepotential together with Bethe ansatz equations. Quasi-exactly solvable Fokker-Planck equations related to the sl(2)-based systems in Turbiner's classification are listed. We also present one sl(2)-based example which is not listed in Turbiner's scheme.
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- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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- We consider exact and quasi-exact solvability of the one-dimensional Fokker-Planck equation based on the connection between the Fokker-Planck equation and the Schrödinger equation.
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