A general formalism is worked out for the description of one-dimensional scattering in non-her¨mitian quantum mechanics and constraints on transmission and reflection coefficients ore derived in the cases of P, T or PT invariance of the Hamiltonian. Applications to some solvable PT-symmetric potentials ore shown in detail. Our main original results concern the association of reflectionless potentials with asymptotic exact PT symmetry and the peculiarities of separable kernels of non-local potentials in connection with Hermiticity, T invariance and PT invariance.

Scattering in PT-Symmetric Quantum Mechanics

Ventura, A.
2007-02-01

Abstract

A general formalism is worked out for the description of one-dimensional scattering in non-her¨mitian quantum mechanics and constraints on transmission and reflection coefficients ore derived in the cases of P, T or PT invariance of the Hamiltonian. Applications to some solvable PT-symmetric potentials ore shown in detail. Our main original results concern the association of reflectionless potentials with asymptotic exact PT symmetry and the peculiarities of separable kernels of non-local potentials in connection with Hermiticity, T invariance and PT invariance.
Informatica, calcolo e modellistica
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.12079/245
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
social impact