EXACTLY SOLVABLE MODELS FOR THE FOKKER-PLANCK EQUATION

ZHENG WEI-MOU

doi:10.7498/aps.35.247

Abstract
By means of the Darboux transformation and an integral transformation, two classes of solvable double-well potential models are obtained for the Fokker-Planck equation. The exact results are compared with Kramers' approximation.
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ZHENG WEI-MOU

1.
中国科学院理论物理研究所
References

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[14]	LU ZHI-HENG, LIN JIAN-HENG, HU GANG. A NUMERICAL STUDY OF THE FOKKER-PLANCK EQUATION FOR STOCHASTIC RESONANCE PROBLEM. Acta Physica Sinica, 1993, 42(10): 1556-1566. doi: 10.7498/aps.42.1556
[15]	QU ZHI-LIN, HU GANG. TIME-DEPENDENT SOLUTION OF THE FOKKER-PLANCK EQUATION OF NONLINEAR NONPOTENTIAL SYSTEMS. Acta Physica Sinica, 1992, 41(9): 1396-1405. doi: 10.7498/aps.41.1396
[16]	LIN REN-MING, HUANG SI-XIAN, ZHANG LIN. THE MULTI-PHOTON QUANTUM STATISTICAL THEORY OF DRIVEN OPTICAL SYSTEMS (Ⅰ)——FOKKER-PLANCK EQUATION AND GOOD CAVITY CASE. Acta Physica Sinica, 1988, 37(4): 573-581. doi: 10.7498/aps.37.573
[17]	TAN WEI-HAN, LI YU-FANG, ZHANG WEI-PING. THE FORMAL SOLUTIONS FOR FOKKER-PLANCK EQUATION WITH ZERO OR NEGATIVE DIFFUSION COEFFICIENTS AND THEIR APPLICATIONS TO QUANTUM OPTICS. Acta Physica Sinica, 1988, 37(3): 396-407. doi: 10.7498/aps.37.396
[18]	HU GANG, WANG SHENG-GUI. TIME-DEPENDENT PROBLEM OF FOKKER-PLANCK EQUATION OF MANY VARIABLES WITH A MULTI-STABLE POTENTIAL. Acta Physica Sinica, 1986, 35(6): 771-778. doi: 10.7498/aps.35.771
[19]	HU GANG. TIME DEPENDENT SOLUTION OF FOKKER-PLANCK EQUATION WITH NON-LINEAR DRIFT FORCE. Acta Physica Sinica, 1985, 34(5): 573-580. doi: 10.7498/aps.34.573
[20]	ZHENG WEI-MOU, LIU JI-XIN. EXACTLY SOLVABLE MODELS FOR QUANTUM DOUBLE-WELL POTENTIALS. Acta Physica Sinica, 1985, 34(12): 1658-1664. doi: 10.7498/aps.34.1658

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Vol. 35, Issue 2 - 1986-01-20

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