PATH INTEGRAL SOLUTION OF NONCENTRAL POTENTIAL
PATH INTEGRAL SOLUTION OF NONCENTRAL POTENTIAL
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DOI：
10.1142/s0217751x00000550
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发表时间：
1999-06
影响因子：
1.6
通讯作者：
B. Mandal
中科院分区：
文献类型：
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作者：
B. Mandal
在不使用Kustannheimo-Stiefel变换的情况下，我们研究了在一类非中心势中运动的质点系统的路径积分解。将系统的哈密顿量转化为抛物坐标系中可分离的Liouvil型哈密顿量，并进一步简化为对应于两个二维简谐振子的哈密顿量。对该体系的能谱进行了解析计算。哈特曼环状势和复合库仑加Aharanov-Bohm势作为特例也被研究过。
We have studied the path integral solution of a system of particle moving in a certain class of noncentral potential without using the Kustannheimo–Stiefel transformation. The Hamiltonian of the system has been converted to a separable Hamiltonian of Liouville type in parabolic coordinates and has further reduced to a Hamiltonian corresponding to two two-dimensional simple harmonic oscillators. The energy spectrum for this system is calculated analytically. The Hartmann ring-shaped potential and compound Coulomb plus the Aharanov–Bohm potential have also been studied as special cases.