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arXiv · 1105.2495

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

Pijush K. Ghosh
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Abstract

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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Pijush K. Ghosh. 2011-05-12. Deconstructing non-dissipative non-Dirac-hermitian relativistic quantum systems. https://doi.org/10.1016/j.physleta.2011.07.025

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