Nonlinear supersymmetry for non-Hermitian, non-diagonalizable Hamiltonians. I: General properties
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Publication:2369781
DOI10.1016/j.nuclphysb.2007.03.016zbMath1117.81070arXivmath-ph/0610024OpenAlexW2146533822MaRDI QIDQ2369781
Alexander A. Andrianov, Andrey V. Sokolov, Francesco Cannata
Publication date: 21 June 2007
Published in: Nuclear Physics. B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/0610024
Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Supersymmetry and quantum mechanics (81Q60)
Related Items (12)
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 ⋮ Bi-orthogonal approach to non-Hermitian Hamiltonians with the oscillator spectrum: generalized coherent states for nonlinear algebras ⋮ Invisible defects in complex crystals ⋮ Factorization of nonlinear supersymmetry in one-dimensional quantum mechanics. II: proofs of theorems on reducibility ⋮ Three-dimensional shape invariant non-separable model with equidistant spectrum ⋮ Three-dimensional solutions of supersymmetrical intertwining relations and pairs of isospectral Hamiltonians ⋮ Bound states in the continuum generated by supersymmetric quantum mechanics and phase rigidity of the corresponding wavefunctions ⋮ Polynomial supersymmetry for matrix Hamiltonians ⋮ Exactly solvable nonseparable and nondiagonalizable two-dimensional model with quadratic complex interaction ⋮ Modes transformation for a Schroedinger type equation: avoided and unavoidable level crossings
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