Formally exact quantization condition for nonrelativistic quantum systems.

Formally exact quantization condition for nonrelativistic quantum systems.
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DOI:
10.1063/1.1799015
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发表时间:
2004-10
期刊:
The Journal of chemical physics
影响因子:
--
通讯作者:
Y. Ou;Z. Cao;Q. Shen
Y. Ou;Z. Cao;Q. Shen
中科院分区:
其他
文献类型:
--
作者:
Y. Ou;Z. Cao;Q. Shen

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基于标准传递矩阵,导出了任意势的形式精确量子化条件,它绕过并统一了历史方法。该方法无需求解系统波函数的运动方程,即可求出量子系统的束缚态能量本征值。
Based on the standard transfer matrix, a formally exact quantization condition for arbitrary potentials, which outflanks and unifies the historical approaches, is derived. It can be used to find the exact bound-state energy eigenvalues of the quantum system without solving an equation of motion for the system wave functions.