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中性自旋粒子在二维中心势和均匀磁场中的量子-经典对应
引用本文:辛俊丽,杨悦玲.中性自旋粒子在二维中心势和均匀磁场中的量子-经典对应[J].量子光学学报,2012,18(3):246-250.
作者姓名:辛俊丽  杨悦玲
作者单位:1. 运城学院物理与电子工程系,山西运城 044000;山西大学理论物理研究所,山西太原 030006
2. 河南师范大学物理与信息工程学院,河南新乡,453007
基金项目:国家自然科学基金(11075099)
摘    要:通过构造自旋的经典对应物理量和系统的拉氏量,研究二维中心势场中的中性自旋粒子在磁场驱动下的经典动力学,并利用自旋相干态推导出的自旋期待值的时间演化与经典动力学方程完全一致而且波函数的几率云局域于经典轨道上,发现了有趣的量子-经典完全对应现象。

关 键 词:量子-经典对应  Larmor进动  中性自旋粒子
收稿时间:2012/1/5

The Quantum-classical Correspondence of a Neutral Spin Particle in Two-dimensional Central Potential and Constant Magnetic field
XIN Jun-li , YANG Yue-ling.The Quantum-classical Correspondence of a Neutral Spin Particle in Two-dimensional Central Potential and Constant Magnetic field[J].Acta Sinica Quantum Optica,2012,18(3):246-250.
Authors:XIN Jun-li  YANG Yue-ling
Institution:1.Department of Physics and Electronic Engineering,Yuncheng College,Yuncheng,Shanxi 044000,China;2.Institute of Theoretical Physics,Shanxi University,Taiyuan,Shanxi 030006,China;3.College of Physics and Information Engineering,Henan Normal University,Xinxiang 453007,China)
Abstract:We investigate the classical dynamics of a neutral spin particle in a constant magnetic field constrained in two-dimensional central potential field by constructing the corresponding classical physical quantities of spin and system Lagrangian. Using spin coherent state, the time evolution of spin expectation value is coincident with the classical motion equation. Furthermore, the probability clouds of wave functions are well localized on classical orbits and quantum-classical correspondence is very well satisfied.
Keywords:quantum-classical correspondence  larmor precession  neutral spin particl
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