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Two-particle Wigner functions in a one-dimensional Calogero-Sutherland potential

  • Quantum Optics and Quantum Information
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Abstract.

We calculate the Wigner distribution function for the Calogero-Sutherland system which consists of harmonic and inverse-square interactions. The Wigner distribution function is separated out into two parts corresponding to the relative and center-of-mass motions. A general expression for the relative Wigner function is obtained in terms of the Laguerre polynomials by introducing a new identity between Hermite and Laguerre polynomials.

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Authors and Affiliations

  1. Department of Physics, Faculty of Sciences, Ankara University, 06100, Tandoğan, Ankara, Turkey

    A. Teğmen, T. Altanhan & B. S. Kandemir

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  1. A. Teğmen
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  2. T. Altanhan
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  3. B. S. Kandemir
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Correspondence to A. Teğmen.

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Teğmen, A., Altanhan, T. & Kandemir, B. Two-particle Wigner functions in a one-dimensional Calogero-Sutherland potential. Eur. Phys. J. D 41, 397–402 (2007). https://doi.org/10.1140/epjd/e2006-00221-1

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