Deconstructing non-dissipative non-Dirac-hermitian relativistic quantum systems
High Energy Physics - Theory
2011-08-17 v1 Quantum Physics
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
Keywords
Cite
@article{arxiv.1105.2495,
title = {Deconstructing non-dissipative non-Dirac-hermitian relativistic quantum systems},
author = {Pijush K. Ghosh},
journal= {arXiv preprint arXiv:1105.2495},
year = {2011}
}
Comments
11 pages, LaTeX, no figures