Formally exact quantization condition for nonrelativistic quantum systems

J.Chem.Phys. 121 (2004) 8175 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 solvi...

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Bibliographic Details
Main Authors Ou, Yong-Cheng, Cao, Zhuang-Qi, Shen, Qi-Shun
Format Journal Article
LanguageEnglish
Published 07.06.2006
Subjects
Physics - Astrophysics of Galaxies
Physics - Cosmology and Nongalactic Astrophysics
Physics - Earth and Planetary Astrophysics
Physics - High Energy Astrophysical Phenomena
Physics - High Energy Physics - Theory
Physics - Instrumentation and Methods for Astrophysics
Physics - Quantum Physics
Physics - Solar and Stellar Astrophysics
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Summary:J.Chem.Phys. 121 (2004) 8175 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.
DOI:10.48550/arxiv.quant-ph/0606054