PT - symmetrized supersymmetric quantum mechanics

Abstract

Supersymmetry between bosons and fermions is modeled within PT- symmetric quantum mechanics. A non-Hermitian alternative to the Witten's supersymmetric quantum mechanics is obtained.

14 pages, Latex, DI/CRM Workshop, Prague, June 18, 2000, text of the 30 min. talk for proceedings

Cited by in corpus (14)

• Pseudo-Hermiticity versus PT Symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian
• Pseudo-Hermiticity versus PT-Symmetry II: A complete characterizatio n of non-Hermitian Hamiltonians with a real spectrum
• Complex Optical Potentials and Pseudo-Hermitian Hamiltonians
• Nonlinear supersymmetry on the plane in magnetic field and quasi-exactly solvable systems
• Isospectral partners for a complex PT-invariant potential
• Perfectly invisible $\mathcal{P}\mathcal{T}$-symmetric zero-gap systems, conformal field theoretical kinks, and exotic nonlinear supersymmetry
• Matching method and exact solvability of discrete PT-symmetric square wells
• Factorization and superpotential of the PT symmetric Hamiltonian
• Non linear pseudo-bosons versus hidden Hermiticity. II: The case of unbounded operators
• Irreducible second order SUSY transformations between real and complex potentials
• Comment on "Supersymmetry and Singular Potentials" by Das and Pernice [Nucl. Phys. B 561 (1999) 357]
• PT-symmetric supersymmetry in a solvable short-range model
• Quadratic pseudosupersymmetry in two-level systems
• Planarizable Supersymmetric Quantum Toboggans