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arXiv · 1001.2964

Reflectionless PT-symmetric potentials in the one-dimensional Dirac equation

Francesco Cannata·Alberto Ventura
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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. Absence of reflection makes it meaningful to consider also PT-symmetric potentials that do not vanish asymptotically.

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Francesco Cannata, Alberto Ventura. 2010-01-18. Reflectionless PT-symmetric potentials in the one-dimensional Dirac equation. https://doi.org/10.1088/1751-8113/43/7/075305

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