Poeschl-Teller paradoxes

Abstract

Poeschl-Teller trigonometric potential well is PT symmetrically regularized at its "impenetrable" end-point barriers. This gives the four different solvable generalizations of the model and enables us to clarify some paradoxes encountered, in the SUSY context, in the classically forbidden coupling regime.

12 p., latex, 4 ps figures, seminar for Doppler Institute (Prague)

Cited by in corpus (8)

• PT symmetry breaking and explicit expressions for the pseudo-norm in the Scarf II potential
• Non-Hermitian supersymmetry and singular PT symmetrized oscillators
• $PT$-symmetric invisible defects and confluent Darboux-Crum transformations
• Fragile PT-symmetry in a solvable model
• An exactly solvable PT symmetric potential from the Natanzon class
• PT symmetric models in more dimensions and solvable square-well versions of their angular Schroedinger equations
• Trigonometric identities, angular Schrödinger equations and a new family of solvable models
• Additional restrictions on quasi-exactly solvable systems