Formally exact quantization condition for nonrelativistic quantum systems
Yong-Cheng Ou, Zhuang-Qi Cao, Qi-Shun Shen
Abstract
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.
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