PT-supersymmetric partner of a short-range square well

Abstract

In a box of size $L$, a spatially antisymmetric square-well potential of a purely imaginary strength $\mathrm{i}g$ and size $l<L$ is interpreted as an initial element of the SUSY hierarchy of solvable Hamiltonians, the energies of which are all real for $g<g_c(l)$. The first partner potential is constructed in closed form and discussed.

8 pages, no figure, presented at PHHQP3, Istanbul, June 20-22, 2005, to be published in Czech. J. Phys

References in corpus (4)

• Complex Extension of Quantum Mechanics
• Physical Aspects of Pseudo-Hermitian and $PT$-Symmetric Quantum Mechanics
• Spontaneous breakdown of PT symmetry in the solvable square-well model
• PT-symmetric square well and the associated SUSY hierarchies

Cited by in corpus (8)

• Coupled-channel version of PT-symmetric square well
• Matching method and exact solvability of discrete PT-symmetric square wells
• Exactly solvable models with PT-symmetry and with an asymmetric coupling of channels
• Deconstructing non-Dirac-hermitian supersymmetric quantum systems
• Symmetrized exponential oscillator
• Displaced harmonic oscillator $V\sim \min [(x+d{)}^2,(x-d{)}^2]$ as a benchmark double-well quantum model
• Quantum square well with logarithmic central spike
• Planarizable Supersymmetric Quantum Toboggans