Scattering states of position-dependent mass Schrödinger equation with non central potential

2016/10/24 by M. Chabab, A. El Batoul, Chabab, M. +8
Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Mechanics and Non-Hermitian Physics #Quantum Physics (quant-ph) #Quantum chaos and dynamical systems #math-ph #math.MP #quant-ph

paper · pdf · doi:10.48550/arxiv.1610.08045

10 pages, Latex, accepted in Journal-Korean Physical Society (JKPS)

arxiv created 2016/10/24 · openalex publication_date 2016/10/24 · arxiv updated 2016/10/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we study the time-independent Schrödinger equation within the formalism of position dependent effective mass. For a generalized decomposition of the non-central effective potential, the deformed Schrödinger equation can be easily solved analytically through separation of variables. The energy eigenvalues and the normalization constant of the radial wave functions are obtained, as well as the scattering phase shifts.

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