Deconstructing non-dissipative non-Dirac-hermitian relativistic quantum systems

Details Deconstructing non-dissipative non-Dirac-hermitian relativistic quantum systems Deconstructing non-dissipative non-Dirac-hermitian relativistic quantum systems

2011-05-12

arxiv.org/abs/1105.2495v1

Phys.Lett.A375:3250-3254,2011

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, LaTeX, no figures

Scientific paper

10.1016/j.physleta.2011.07.025

A method to construct non-dissipative non-Dirac-hermitian relativistic quantum system that is isospectral with a Dirac-hermitian Hamiltonian is presented. The general technique involves a realization of the basic canonical (anti-)commutation relations involving the Dirac matrices and the bosonic degrees of freedom in terms of non-Dirac-hermitian operators, which are hermitian in a Hilbert space that is endowed with a pre-determined positive-definite metric. Several examples of exactly solvable non-dissipative non-Dirac-hermitian relativistic quantum systems are presented by establishing/employing a connection between Dirac equation and supersymmetry

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