121 citations · 1k across the 56 of their papers we have counts for
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Exactly solvable models with PT-symmetry and with an asymmetric coupling of channels
Miloslav Znojil
Bound states generated by K coupled PT-symmetric square wells are studied in a series of models where the Hamiltonians are assumed pseudo-Hermitian and symmetric. Specifi…
Discrete PT-symmetric square-well oscillators
Miloslav Znojil
Exact solvability of the discretized N-point version of the PT-symmetric square-well model is pointed out. Its wave functions are found proportional to the classical Tshebyshev pol…
Coupled-channel version of PT-symmetric square well
Miloslav Znojil
Coupled pair of PT-symmetric square wells is studied as a prototype of a quantum system characterized by two manifestly non-Hermitian commuting observables. We demonstrate that the…
Comment on `Solution of the Dirac equation for the Woods-Saxon potential with spin and pseudospin symmetry' [J. Y. Guo and Z-Q. Sheng, Phys. Lett. A 338 (2005) 90]
H. Bila, V. Jakubsky, M. Znojil
Out of the four bound-state solutions presented in loc. cit., only one (viz., the spin-symmetric one, in the low-mass regime) is shown compatible with the physical boundary conditi…
PT-supersymmetric partner of a short-range square well
C. Quesne, B. Bagchi, S. Mallik +3
In a box of size , a spatially antisymmetric square-well potential of a purely imaginary strength and size is interpreted as an initial element of the SUSY hi…
An explicitly solvable model of the spontaneous PT-symmetry breaking
Vit Jakubsky, Miloslav Znojil
We contemplate the pair of the purely imaginary delta-function potentials on a finite interval with Dirichlet boundary conditions. The two parameter model exhibits nicely the expec…