| 可积系统规则运动的量子经典对应与有关问题 |
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| 引用本文： | 徐躬耦,杨亚天,徐鸣洁. 可积系统规则运动的量子经典对应与有关问题[J]. 原子核物理评论, 2001, 18(4): 201-205. DOI: 10.11804/NuclPhysRev.18.04.201 |
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| 作者姓名： | 徐躬耦 杨亚天 徐鸣洁 |
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| 作者单位： | 1南京大学物理系;2兰州重离子加速器国家实验室原子核理论中心; 3福建师范大学物理系; 4南京大学地球科学系; |
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| 基金项目： | 国家基础性研究“非线性科学”资助项目; 国家自然科学基金资助项目(19675019) |
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| 摘 要： | 基于表述经典及量子系统可积性的动力对称性群,对量子可积系统规则运动的经典对应问题运用归纳法进行了研究.具体给出了经典近似描述的适用条件,并进行了简明讨论.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...
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| 关 键 词： | 动力对称性群 量子规则运动 量子经典对应 |
| 文章编号： | 1007-4627(2001)04-0201-05 |
| 收稿时间： | 1900-01-01 |
| 修稿时间： | 2001-09-29 |
Quantum-classical Correspondence of Regular Motion of Integrable Systems and Related Problems |
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| 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 |
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| Authors: | XU Gong-ou YANG Ya-tian XU Ming-jie |
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| Affiliation: | (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...... |
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| 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... |
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