dorsal/arxiv
View SchemaTwo-particle Wigner functions in a one-dimensional Calogero-Sutherland potential
| Authors | A. Tegmen, T. Altanhan, B. S. Kandemir |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0702037 |
| URL | https://arxiv.org/abs/quant-ph/0702037 |
| DOI | 10.1140/epjd/e2006-00221-1 |
| Journal | Eur Phys J D41 (2007) 397-402 |
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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"abstract": "We calculate the Wigner distribution function for the Calogero-Sutherland\nsystem which consists of harmonic and inverse-square interactions. The Wigner\ndistribution function is separated out into two parts corresponding to the\nrelative and center-of-mass motions. A general expression for the relative\nWigner function is obtained in terms of the Laguerre polynomials by introducing\na new identity between Hermite and Laguerre polynomials.",
"arxiv_id": "quant-ph/0702037",
"authors": [
"A. Tegmen",
"T. Altanhan",
"B. S. Kandemir"
],
"categories": [
"quant-ph"
],
"doi": "10.1140/epjd/e2006-00221-1",
"journal_ref": "Eur Phys J D41 (2007) 397-402",
"title": "Two-particle Wigner functions in a one-dimensional Calogero-Sutherland potential",
"url": "https://arxiv.org/abs/quant-ph/0702037"
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