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Generalizing the exact quantization rule to multiple real turning points

2025/05/05 by Wei Yang, Yang, Wei
Computer Science · #Advanced Data Compression Techniques #Digital Filter Design and Implementation #FOS: Physical sciences #Quantum Physics (quant-ph)

paper · pdf · doi:10.48550/arxiv.2505.02510

openalex publication_date 2025/05/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

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