A generalized Swanson Hamiltonian in a second-derivative pseudo-supersymmetric framework

2015/01/16 by Bijan Bagchi, Abhijit Banerjee, Partha Mandal
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Covariant Hamiltonian field theory #Hamiltonian (control theory) #Hamiltonian mechanics #Hamiltonian system #Nonlinear Waves and Solitons #Quantum Mechanics and Non-Hermitian Physics #math-ph #math.MP #msc:81Q12 #msc:81Q60 #quant-ph

paper · pdf · doi:10.1142/s0217751x15500372

published as International Journal of Modern Physics A, Vol-30, No-9 (2015) 1550037 · 16 Pages, Accepted for publication in International Journal of Modern Physics A

arxiv created 2015/01/16 · openalex publication_date 2015/03/11 · arxiv updated 2015/04/16 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We study a generalized scheme of Swanson Hamiltonian from a second-derivative pseudo-supersymmetric approach. We discuss plausible choices of the underlying quasi-Hamiltonian and consider the viability of applications to systems like the isotonic oscillator and CPRS potential.

Citations

• Non-Hermitian Hamiltonians of Lie algebraic type
• Making Sense of Non-Hermitian Hamiltonians
• Pseudo-Hermiticity and some consequences of a generalized quantum condition
• A generalized non-Hermitian oscillator Hamiltonian, -fold supersymmetry and position-dependent mass models
• A family of complex potentials with real spectrum
• Pseudo-Hermitian Representation of Quantum Mechanics