A globally diagonalizable α2-dynamo operator, SUSY QM and the Dirac equation

DOI10.1088/1751-8113/40/5/F04zbMath1118.82011arXivmath-ph/0611036WikidataQ61954381 ScholiaQ61954381MaRDI QIDQ3425244

Uwe Günther, Frank Stefani, Boris F. Samsonov

Publication date: 7 March 2007

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

Full work available at URL: https://arxiv.org/abs/math-ph/0611036

zbMATH Keywords

eigenvalue problemPauli matricesKummer-Liouville-type transformationspherically symmetric \(\alpha^2\)-dynamo

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Magnetohydrodynamics and electrohydrodynamics (76W05) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Supersymmetry and quantum mechanics (81Q60)

Related Items (7)

Pseudo-Hermitian and \(\mathcal{P}T\)-symmetric quantum systems with energy-dependent potentials: bound-state solutions and energy spectra ⋮ Darboux transformations for energy-dependent potentials and the Klein-Gordon equation ⋮ Equivalent Hermitian operator from supersymmetric quantum mechanics ⋮ DARBOUX TRANSFORMATIONS FOR EFFECTIVE MASS SCHRÖDINGER EQUATIONS WITH ENERGY-DEPENDENT POTENTIALS ⋮ Quantum models with energy-dependent potentials solvable in terms of exceptional orthogonal polynomials ⋮ Bound state solutions of the Klein–Gordon equation with energy-dependent potentials ⋮ DKP Equation with Energy Dependent Potentials

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