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

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

2010-03-16

arxiv.org/abs/1003.3167v4

Physics Letters A 374 (2010) 3400-3404

Physics

Quantum Physics

5 pages, 6 eps files

Scientific paper

10.1016/j.physleta.2010.06.046

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 $q \to 0$.

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