Complex-Variable Fokker-Planck Equation Solved in Entangled State Representation |
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Authors: | TANG Xü-Bing and FAN Hong-Yi |
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Institution: | 1.School of Mathematics and Physics, Anhui University of Technology, Ma'anshan 243002, China
;2.Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China |
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Abstract: | We find that the Fokker-Planck equation in complex variables can beconveniently solved in the context of bipartite entangled staterepresentation and its relationship with SU(2) Lie algebraic generators' newrealization {(1/4) Q1-Q2)2+(P1+P2)2], (1/4) (Q1+Q2)2+( P1-P2)2, and -(i/2)( Q1P2+Q2P1) }, the quadratic combination of canonical operators. |
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Keywords: | Fokker Planck equation entangled state representation SU(2) Lie algebra |
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