One Dimensional Schrodinger Equation With Two Moving Boundaries

2003/02/04 by Ercan Yilmaz, Yilmaz, Ercan
Mathematics · Physics and Astronomy · #81S99 #Advanced Mathematical Physics Problems #FOS: Physical sciences #Mathematical Physics (math-ph) #Spectral Theory in Mathematical Physics #advanced mathematical theories #math-ph #math.MP #msc:81S99

paper · pdf · doi:10.48550/arxiv.math-ph/0302006

9 pages, 2 figures

openalex publication_date 2003/02/04 · arxiv created 2003/02/05 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this letter, we consider a Schrodinger equation for a well potential with varying width. We solve one dimensional time-dependent Schrodinger equation subject to time-dependent boundary conditions for a spinless particle inside infinite potential well, both wall of which move opposite direction with different velocities v1 and v2, respectively.

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