Quantum-classical Correspondence of Regular Motion of Integrable Systems and Related Problems

XU Gong-ou; YANG Ya-tian; XU Ming-jie

doi:10.11804/NuclPhysRev.18.04.201

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Article Navigation > Nuclear Physics Review > 2001 > 18(4): 201-205

XU Gong-ou, YANG Ya-tian, XU Ming-jie. Quantum-classical Correspondence of Regular Motion of Integrable Systems and Related Problems[J]. Nuclear Physics Review, 2001, 18(4): 201-205. doi: 10.11804/NuclPhysRev.18.04.201

Citation:

XU Gong-ou, YANG Ya-tian, XU Ming-jie. Quantum-classical Correspondence of Regular Motion of Integrable Systems and Related Problems[J]. Nuclear Physics Review, 2001, 18(4): 201-205. doi: 10.11804/NuclPhysRev.18.04.201

Quantum-classical Correspondence of Regular Motion of Integrable Systems and Related Problems

doi: 10.11804/NuclPhysRev.18.04.201

(1 Department of Physics; Nanjing University; Nanjing 210093; China; 2 Center of Theoretical Nuclear Physics; National Laboratory of Heavy Ion Accelerator of Lanzhou; Lanzhou 730000......

Received Date: 1900-01-01
Rev Recd Date: 1900-01-01
Publish Date: 2001-12-20

Abstract

Based on the dynamical symmetry group characterizing the integrability of classical as well as quantum mechanics, quantum dynamics with proper initial conditions was genuinely formulated, and analytical solutions in the form of soliton-like state evolving around a certain invariant torus were obtained. It has been shown that, in case the intrinsic size of the evolving quantum state is significantly smaller than the extent of its evolving orbit, the motion can be satisfactorily treated with...
- dynamical symmetry group,
- quantum regular motion,
- quantum-classical correspondence
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