Faria, C. F. D. M. & Fring, A. (2006). Isospectral Hamiltonians from Moyal products. Czechoslovak Journal of Physics, 56(9), 899 - 908. doi: 10.1007/s10582-006-0386-x
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Abstract
Recently Scholtz and Geyer proposed a very efficient method to compute metric operators for non-Hermitian Hamiltonians from Moyal products. We develop these ideas further and suggest to use a more symmetrical definition for the Moyal products, because they lead to simpler differential equations. In addition, we demonstrate how to use this approach to determine the Hermitian counterpart for a pseudo-Hermitian Hamiltonian. We illustrate our suggestions with the explicitly solvable example of the −x 4-potential and the ubiquitous harmonic oscillator in a complex cubic potential.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | pseudo-Hermiticity, PT invariance, Moyal products, HERMITIAN QUANTUM-MECHANICS, SYMMETRY, BRACKETS, MODEL |
| Subjects: | Q Science > QC Physics |
| Divisions: | School of Engineering & Mathematical Sciences > Department of Mathematical Science |
| URI: | http://openaccess.city.ac.uk/id/eprint/697 |
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