Solving the two-mode squeezed harmonic oscillator and the kth-order harmonic generation in Bargmann-Hilbert spaces

Zhang, Yao-Zhong (2013) Solving the two-mode squeezed harmonic oscillator and the kth-order harmonic generation in Bargmann-Hilbert spaces. Journal of Physics A-Mathematical and Theoretical, 46 45: 455302.1-455302.13. doi:10.1088/1751-8113/46/45/455302


Author Zhang, Yao-Zhong
Title Solving the two-mode squeezed harmonic oscillator and the kth-order harmonic generation in Bargmann-Hilbert spaces
Journal name Journal of Physics A-Mathematical and Theoretical   Check publisher's open access policy
ISSN 1751-8113
1751-8121
Publication date 2013-11
Sub-type Article (original research)
DOI 10.1088/1751-8113/46/45/455302
Volume 46
Issue 45
Start page 455302.1
End page 455302.13
Total pages 13
Place of publication Bristol, United Kingdom
Publisher Institute of Physics Publishing Ltd
Collection year 2014
Language eng
Formatted abstract
We analyze the two-mode squeezed harmonic oscillator and the kth-order harmonic generation within the framework of Bargmann–Hilbert spaces of entire functions. For displaced single-mode squeezed and two-mode squeezed harmonic oscillators, we derive exact closed-form expressions for their energies and wave functions. For the kth-order harmonic generation with k ≥ 3, our result indicates that it does not have eigenfunctions and is thus ill-defined in the Bargmann–Hilbert space.
Keyword Spectrum
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ
Additional Notes Article no. 455302

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
Official 2014 Collection
 
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Citation counts: TR Web of Science Citation Count  Cited 6 times in Thomson Reuters Web of Science Article | Citations
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