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

作者：Ghosh Pijush K^*

来源：Physics Letters A, 2011, 375(37): 3250-3254.

DOI：10.1016/j.physleta.2011.07.025

• PT symmetric quantum systems
• Pseudo-Hermitian operators
• Dirac equation
• Supersymmetric quantum systems
• Exactly solvable models

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.

• 出版日期2011-8-29