Pendulum View of The Schroedinger Equation

2003/06/25 by Biao Wu, Wu, Biao
Mathematics · Physics and Astronomy · #Experimental and Theoretical Physics Studies #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Physics (quant-ph) #Quantum and Classical Electrodynamics #math-ph #math.MP #quant-ph

paper · pdf · doi:10.48550/arxiv.math-ph/0306064

4 pages, 3 figures

arxiv created 2003/06/25 · openalex publication_date 2003/06/25 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A transformation is found between the one dimensional Schroedinger equation and a pendulum problem. It is demonstrated how to construct exact solutions with the resulted pendulum equation. The relation of this transformation to the Zakharov-Shabat equations is pointed out.

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