SCHROEDINGER DIFFERENTIAL EQUATIONS
WITH PT-SYMMETRY

MILOSLAV ZNOJIL, NPI AS CR, REZ NEAR PRAGUE

Abstract of the seminar talk, Tuesday, April 9, 2002, 14.00 hours, Koc University, Istanbul

INTRODUCTION

What is non-Hermiticity

What is PT symmetry

Eight exactly solvable complex potentials in Bender - Boettcher quantum mechanics

REGULARIZATION

PT symmetrized SUSY quantum mechanics

Comprehensive analysis of conditionally exactly solvable models

ANOMALIES

Anomalous doublets of states in a PT symmetric quantum model,

PT symmetric square well

Spontaneous breakdown of PT symmetry in the solvable square well model

SUPERSYMMETRY

Non-Hermitian SUSY and singular, PT-symmetrized oscillators

Solvable PT-symmetric Hamiltonians

Conditions for complex spectra in a class of PT symmetric potentials

Re-establishing supersymmetry between harmonic oscillators in D dimensions

PHYSICS

Generalized continuity equation and modified normalization in PT-symmetric quantum mechanics

Poeschl-Teller paradoxes

Complex Calogero model with real energies

Exactly solvable three-body Calogero-type model with translucent two-body barriers