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Open Quantum Systems Decoherence
Quantum Simulation
Non-Hermitian oscillator Hamiltonian and su(1,1): a way towards generalizations
arXiv
Authors: C. Quesne
Year
2007
Paper ID
50227
Status
Preprint
Abstract Read
~2 min
Abstract Words
91
Citations
N/A
Abstract
The family of metric operators, constructed by Musumbu {\sl et al} 2007 {sl J. Phys. A: Math. Theor.} {bf 40} F75, for a harmonic oscillator Hamiltonian augmented by a non-Hermitian cal PT-symmetric part, is re-examined in the light of an su(1,1) approach. An alternative derivation, only relying on properties of su(1,1) generators, is proposed. Being independent of the realization considered for the latter, it opens the way towards the construction of generalized non-Hermitian not necessarily $cal PT$-symmetric oscillator Hamiltonians related by similarity to Hermitian ones. Some examples of them are reviewed.
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- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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- The family of metric operators, constructed by Musumbu sl et al (2007 sl J.
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