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

The Quantum-classical Correspondence of a Neutral Spin Particle in Two-dimensional Central Potential and Constant Magnetic field

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。

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.