Spectral design for matrix Hamiltonians: different methods of constructing of a matrix intertwining operator

DOI10.1088/1751-8113/48/8/085202zbMath1312.81067arXiv1406.0191OpenAlexW2029809680MaRDI QIDQ5179287

Andrey V. Sokolov

Publication date: 19 March 2015

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.0191

zbMATH Keywords

spectrumsupersymmetrymatrix non-Hermitian Hamiltonianintertwining operatpr

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Eigenvalues, singular values, and eigenvectors (15A18) General theory of ordinary differential operators (47E05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Supersymmetry and quantum mechanics (81Q60)

Related Items (5)

SUSY method for the three-dimensional Schrödinger equation with effective mass ⋮ Minimal realizations of supersymmetry for matrix Hamiltonians ⋮ Extended supersymmetry and hidden symmetries in one-dimensional matrix quantum mechanics ⋮ Confinement of an electron in a non-homogeneous magnetic field: integrable vs superintegrable quantum systems ⋮ Supersymmetries in Schrödinger–Pauli Equations and in Schrödinger Equations with Position Dependent Mass

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