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Open Quantum Systems Decoherence Quantum Simulation

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

arXiv
Authors: Pijush K. Ghosh

Year

2011

Paper ID

8842

Status

Preprint

Abstract Read

~2 min

Abstract Words

83

Citations

N/A

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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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • A method to construct non-dissipative non-Dirac-hermitian relativistic quantum system that is isospectral with a Dirac-hermitian Hamiltonian is presented.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1105.2495 [2] arXiv https://arxiv.org/abs/1105.2495 [3] Publisher https://arxiv.org/abs/1105.2495

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