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Transition to sub-Planck structures through the superposition of q-oscillator stationary states

(2010) PHYSICS LETTERS A. 374(34). p.3400-3404
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Abstract
We investigate the superposition of four different quantum states based on the q-oscillator. These quantum states are expressed by means of Rogers-Szego polynomials. We show that such a superposition has the properties of the quantum harmonic oscillator when q -> 1, and those of a compass state with the appearance of chessboard-type interference patterns when q -> 0.
Keywords
Sub-Planck structures, q-Oscillator, Compass states, Rogers-Szegh polynomials, COHERENT STATES, PHASE-SPACE, WIGNER

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Citation

Please use this url to cite or link to this publication:

Chicago
Jafarov, EI, and Joris Van der Jeugt. 2010. “Transition to sub-Planck Structures Through the Superposition of Q-oscillator Stationary States.” Physics Letters A 374 (34): 3400–3404.
APA
Jafarov, E., & Van der Jeugt, J. (2010). Transition to sub-Planck structures through the superposition of q-oscillator stationary states. PHYSICS LETTERS A, 374(34), 3400–3404.
Vancouver
1.
Jafarov E, Van der Jeugt J. Transition to sub-Planck structures through the superposition of q-oscillator stationary states. PHYSICS LETTERS A. 2010;374(34):3400–4.
MLA
Jafarov, EI, and Joris Van der Jeugt. “Transition to sub-Planck Structures Through the Superposition of Q-oscillator Stationary States.” PHYSICS LETTERS A 374.34 (2010): 3400–3404. Print.
@article{1029892,
  abstract     = {We investigate the superposition of four different quantum states based on the q-oscillator. These quantum states are expressed by means of Rogers-Szego polynomials. We show that such a superposition has the properties of the quantum harmonic oscillator when q -> 1, and those of a compass state with the appearance of chessboard-type interference patterns when q -> 0.},
  author       = {Jafarov, EI and Van der Jeugt, Joris},
  issn         = {0375-9601},
  journal      = {PHYSICS LETTERS A},
  keywords     = {Sub-Planck structures,q-Oscillator,Compass states,Rogers-Szegh polynomials,COHERENT STATES,PHASE-SPACE,WIGNER},
  language     = {eng},
  number       = {34},
  pages        = {3400--3404},
  title        = {Transition to sub-Planck structures through the superposition of q-oscillator stationary states},
  url          = {http://dx.doi.org/10.1016/j.physleta.2010.06.046},
  volume       = {374},
  year         = {2010},
}

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