Pauli equation and the method of supersymmetric factorization

DOI10.1088/0305-4470/36/10/309zbMath1040.81025arXivhep-th/0302004OpenAlexW3099493770MaRDI QIDQ4807135

A. I. Neelov, Mikhail V. Ioffe

Publication date: 2003

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

Full work available at URL: https://arxiv.org/abs/hep-th/0302004

zbMATH Keywords

Schrödinger operatorsspectrumfactorizationsupersymmetric quantum mechanicsDarboux transformations

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Supersymmetry and quantum mechanics (81Q60) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

Related Items (10)

Some properties of the shape-invariant two-dimensional Scarf II model ⋮ 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 ⋮ Two-dimensional supersymmetry: from SUSY quantum mechanics to integrable classical models ⋮ Analytical solution of two-dimensional Scarf II model by means of SUSY methods ⋮ Supersymmetric solutions of \({\mathcal PT}\)-/non-\({\mathcal PT}\)-symmetric and non-Hermitian central potentials via Hamiltonian hierarchy method ⋮ Polynomial supersymmetry for matrix Hamiltonians ⋮ $\cN$-FOLD SUPERSYMMETRY IN QUANTUM MECHANICAL MATRIX MODELS ⋮ Two-dimensional magnetic Schrödinger equations, Darboux transformations and solutions of associated auxiliary equations

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