We study the one-dimensional Dirac equation with local PT-symmetric potentials whose discrete eigenfunctions and continuum asymptotic eigenfunctions are eigenfunctions of the PT operator, too: on these conditions, the bound-state spectra are real and the potentials are reflectionless and conserve unitarity in the scattering process. The absence of reflection makes it meaningful to consider also PT-symmetric potentials that do not vanish asymptotically.

Reflectionless PT-Symmetric Potentials in the One-dimensional Dirac Equation

Ventura, A.
2010-02-01

Abstract

We study the one-dimensional Dirac equation with local PT-symmetric potentials whose discrete eigenfunctions and continuum asymptotic eigenfunctions are eigenfunctions of the PT operator, too: on these conditions, the bound-state spectra are real and the potentials are reflectionless and conserve unitarity in the scattering process. The absence of reflection makes it meaningful to consider also PT-symmetric potentials that do not vanish asymptotically.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.12079/840
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