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

E. I. Jafarov; J. Van der Jeugt

doi:10.1016/j.physleta.2010.06.046

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

Quantum Physics 2014-11-20 v4 High Energy Physics - Theory Mathematical Physics math.MP

Authors: E. I. Jafarov , J. Van der Jeugt

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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-Szeg\"o polynomials. We show that such a superposition has the properties of the quantum harmonic oscillator when $q\to 1$ , and those of a compass state with the appearance of chessboard-type interference patterns when $q \to 0$ .

Keywords

q-oscillator superposition sub-Planck structures Rogers-Szegő polynomials compass state quantum harmonic oscillator

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@article{arxiv.1003.3167,
  title  = {Transition to sub-Planck structures through the superposition of q-oscillator stationary states},
  author = {E. I. Jafarov and J. Van der Jeugt},
  journal= {arXiv preprint arXiv:1003.3167},
  year   = {2014}
}

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

Abstract

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