Nonlinear supersymmetry for non-Hermitian, non-diagonalizable Hamiltonians. II: Rigorous results

DOI10.1016/j.nuclphysb.2007.03.015zbMath1117.81074arXivmath-ph/0610022OpenAlexW2086267265MaRDI QIDQ2369782

Andrey V. Sokolov

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/0610022

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Supersymmetry and quantum mechanics (81Q60)

Related Items (6)

Minimal realizations of supersymmetry for matrix Hamiltonians ⋮ Extended supersymmetry and hidden symmetries in one-dimensional matrix quantum mechanics ⋮ Equivalent Hermitian operator from supersymmetric quantum mechanics ⋮ Factorization of nonlinear supersymmetry in one-dimensional quantum mechanics. II: proofs of theorems on reducibility ⋮ Factorization of nonlinear supersymmetry in one-dimensional quantum mechanics. III: precise classification of irreducible intertwining operators ⋮ Spectral singularities for non-Hermitian one-dimensional Hamiltonians: Puzzles with resolution of identity

Cites Work

• Nonlinear supersymmetry in quantum mechanics: algebraic properties and differential repre\-sentation
• SECOND ORDER DERIVATIVE SUPERSYMMETRY, q DEFORMATIONS AND THE SCATTERING PROBLEM
• Factorization: little or great algorithm?
• Nonlinear supersymmetry for spectral design in quantum mechanics
• Unnamed Item

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