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