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

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

2010-01-18

arxiv.org/abs/1001.2964v2

J. Phys. A : Math. Theor. 43 (2010) 075305: 1-19

Physics

Mathematical Physics

24 pages, to appear in J. Phys. A : Math. Theor; one acknowledgement and one reference added

Scientific paper

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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