Diffusion Equations in Lie Group Manifold

LI Xi-Guo; Marcello Baldo; SONG Jian-Jun; LIU Fang

Chinese Physics C> 2001, Vol. 25> Issue(1) : 86-88

Diffusion Equations in Lie Group Manifold

Research Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Collisions, Lanzhou 730000, China2 Institute of Modern Physics, The Chinese Academy of Sciences, Lanzhou 730000, China3 INFN, Sezione di Catania, Corso Italia 57, I-95129 Catania, Italy

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Abstract：
To describe the random motion in the symmetric space, the diffusion equations in a group manifold have been developed. A concrete formula of the diffusion equation on the compact Riemannian space was presented. Furthermore, the corresponding quantum diffusion motion in the space was also discussed.

References

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Baldo Marcello. Physica, 1982, 114A: 882 Balescu Radu. Statistical Dynamics–Matter out of Equilibrium,Singapore:World Scientific Publishing Co, 1997 3 Ruppeiner George. Rev. Modn. Phys., 1995,67:605 4 Dewitt C, Bewitt B. Relativity,Groups and Topology. Y. N: Science Publishers. Inc., 1964 5 HU Gang. Stochastic Forces and Nonlinear System, Shanghai Shanghai Scientific and Technological Education Publish– ing,House, 1994 6 Zakir Zahid. gr–qc/9906079

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LI Xi-Guo, Marcello Baldo, SONG Jian-Jun and LIU Fang. Diffusion Equations in Lie Group Manifold[J]. Chinese Physics C, 2001, 25(1): 86-88.

LI Xi-Guo, Marcello Baldo, SONG Jian-Jun and LIU Fang. Diffusion Equations in Lie Group Manifold[J]. Chinese Physics C, 2001, 25(1): 86-88. shu

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Received: 2000-06-21
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

Diffusion Equations in Lie Group Manifold

Corresponding author: LI Xi-Guo,

Research Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Collisions, Lanzhou 730000, China2 Institute of Modern Physics, The Chinese Academy of Sciences, Lanzhou 730000, China3 INFN, Sezione di Catania, Corso Italia 57, I-95129 Catania, Italy

Received Date: 2000-06-21
Accepted Date: 1900-01-01
Available Online: 2001-01-05

Abstract: To describe the random motion in the symmetric space, the diffusion equations in a group manifold have been developed. A concrete formula of the diffusion equation on the compact Riemannian space was presented. Furthermore, the corresponding quantum diffusion motion in the space was also discussed.