Below a (comparatively large) measure of non-Hermiticity Z = Z (crit) 0 > 0 of a PT symmetrically complexified square well, bound states are constructed non-numerically. All their energies prove real and continuous in the (Hermitian) limit Z → 0. Beyond the threshold Z (crit) 0 (and, in general, beyond Z (crit) m at m = 0, 1, . . .) the lowest two real energies (i.e., E2m and E2m+1) are shown t...

We have reinvestigated the structural and thermodynamic properties of the squarewell and the square-shoulder system using two different theoretical frameworks, i.e., the optimized random-phase approximation and the Rogers–Young integral equation. We discuss the limits of applicability of the respective concepts and compare the results with ‘exact’ Monte Carlo simulation results and with data ob...

Abstract Symmetry considerations are taken into account when a particle in square well potential is studied. This system may display natural degeneracy, accidental degeneracy or systematic depending on the depth of potential. In order to obtain solutions associated with an arbitrary algebraic discrete variable representation approach based Pöschl-Teller functions proposed. It proved that geomet...