Formally exact quantization condition for nonrelativistic quantum systems
Quantum Physics
2009-11-13 v1 Astrophysics
High Energy Physics - Theory
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.
Cite
@article{arxiv.quant-ph/0606054,
title = {Formally exact quantization condition for nonrelativistic quantum systems},
author = {Yong-Cheng Ou and Zhuang-Qi Cao and Qi-Shun Shen},
journal= {arXiv preprint arXiv:quant-ph/0606054},
year = {2009}
}
Comments
4 pages. Appeared in Journal of Chemical Physics 121,8175(2004)