Second order SUSY transformations with ‘complex energies’

2002/12/04 by David J. Fernández C., David J. Fernandez C., R. Muñoz-Vega +2 · 3 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #hep-th #quant-ph

paper · pdf · doi:10.1016/s0375-9601(02)01779-6

published as Phys.Lett. A308 (2003) 11-16 · 11 pages, 2 figures, submitted on 23 August 2002 to Phys. Lett. A

arxiv created 2002/12/04 · openalex publication_date 2003/02/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Second order supersymmetry transformations which involve a pair of complex conjugate factorization energies and lead to real non-singular potentials are analyzed. The generation of complex potentials with real spectra is also studied. The theory is applied to the free particle, one-soliton well and one-dimensional harmonic oscillator.

Citations

• Group Theoretical Approach to the Intertwined Hamiltonians
• A family of complex potentials with real spectrum

Cited by

• The confluent algorithm in second-order supersymmetric quantum mechanics
• New exactly solvable isospectral partners for symmetric potentials
• Beyond conventional factorization: non-Hermitian Hamiltonians with radial oscillator spectrum