Generalizing the exact quantization rule to multiple real turning points

Fuente: arXiv
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Autor principal: Yang, Wei
Formato: Preprint
Publicado: 2025
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author Yang, Wei
author_facet Yang, Wei
contents We generalize the exact quantization rule to multiple turning points, which are all on the real axis and are even in number. We found that when we take wave functions of different energy levels, they are stable between two adjacent turning points and are always integer multiples of π. We verify the effectiveness of the exact quantization rule by examining double square well potential and biharmonic potential.
format Preprint
id arxiv_https___arxiv_org_abs_2505_02510
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Generalizing the exact quantization rule to multiple real turning points
Yang, Wei
Quantum Physics
We generalize the exact quantization rule to multiple turning points, which are all on the real axis and are even in number. We found that when we take wave functions of different energy levels, they are stable between two adjacent turning points and are always integer multiples of π. We verify the effectiveness of the exact quantization rule by examining double square well potential and biharmonic potential.
title Generalizing the exact quantization rule to multiple real turning points
topic Quantum Physics
url https://arxiv.org/abs/2505.02510