Energy and Wave function Analysis on Harmonic Oscillator Under Simultaneous Non-Hermitian Transformations of Co-ordinate and Momentum: Iso-spectral case

We present a complete energy and wavefunction analysis of a Harmonic oscillator with simultaneous non-hermitian transformations of co-ordinate and momentum using perturbation theory under iso-spectral conditions. We observe that two different frequencies of oscillation ( , )correspond to the same en...

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Bibliographic Details
Published in:Open Physics 2016-01, Vol.14 (1), p.492-497
Main Authors: Rath, Biswanath, Mallick, P.
Format: Article
Language:English
Subjects:
03.65.Ca
03.65.Db
03.65.Ge
11.30.Er
iso-spectrum
Non-Hermitian Harmonic oscillator
Perturbation theory
Wavefunction
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Summary:We present a complete energy and wavefunction analysis of a Harmonic oscillator with simultaneous non-hermitian transformations of co-ordinate and momentum using perturbation theory under iso-spectral conditions. We observe that two different frequencies of oscillation ( , )correspond to the same energy eigenvalue, - which can also be verified using a Lie algebraic approach.
ISSN:2391-5471
2391-5471
DOI:10.1515/phys-2016-0054