Intertwining technique for a system of difference Schrödinger equations and new exactly solvable multichannel potentials

2003/09/03 by L. M. Nieto, B. F. Samsonov, A. A. Suzko · 1 citation
Mathematics · Physics and Astronomy · #Applied mathematics #Basis (linear algebra) #Cold Atom Physics and Bose-Einstein Condensates #Geometry #Mathematical analysis #Mathematical physics #Mathematics #Operator (biology) #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Schrödinger equation #Schrödinger's cat #quant-ph

paper · pdf · doi:10.1088/0305-4470/36/49/011

published as J. Phys. A: Math. Gen. 36 (2003) 12293-12304

arxiv created 2003/09/03 · openalex publication_date 2003/11/26 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The intertwining operator technique is applied to difference Schrödinger equations with operator-valued coefficients. It is shown that these equations appear naturally when a discrete basis is used for solving a multichannel Schrödinger equation. New families of exactly solvable multichannel Hamiltonians are found.

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