dorsal/arxiv
View SchemaExact Solution Versus Gaussian Approximation for a Non-Ideal Bose Gas in One-Dimension
| Authors | P. R. I. Tommasini, P. L. Natti, E. R. Takano Natti, A. F. R. de Toledo Piza, C. -Y. Lin |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9702045 |
| URL | https://arxiv.org/abs/quant-ph/9702045 |
Abstract
We investigate ground-state and excitation spectrum of a system of non-relativistic bosons in one-dimension interacting through repulsive, two-body contact interactions in a self-consistent Gaussian mean-field approximation. The method consists in writing the variationally determined density operator as the most general Gaussian functional of the quantized field operators. There are mainly two advantages in working with one-dimension. First, the existence of an exact solution for the ground-state and excitation energies. Second, neither in the perturbative results nor in the Gaussian approximation itself we do not have to deal with the three-dimensional patologies of the contact interaction . So that this scheme provides a clear comparison between these three different results.
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"abstract": "We investigate ground-state and excitation spectrum of a system of\nnon-relativistic bosons in one-dimension interacting through repulsive,\ntwo-body contact interactions in a self-consistent Gaussian mean-field\napproximation. The method consists in writing the variationally determined\ndensity operator as the most general Gaussian functional of the quantized field\noperators. There are mainly two advantages in working with one-dimension.\nFirst, the existence of an exact solution for the ground-state and excitation\nenergies. Second, neither in the perturbative results nor in the Gaussian\napproximation itself we do not have to deal with the three-dimensional\npatologies of the contact interaction . So that this scheme provides a clear\ncomparison between these three different results.",
"arxiv_id": "quant-ph/9702045",
"authors": [
"P. R. I. Tommasini",
"P. L. Natti",
"E. R. Takano Natti",
"A. F. R. de Toledo Piza",
"C. -Y. Lin"
],
"categories": [
"quant-ph"
],
"title": "Exact Solution Versus Gaussian Approximation for a Non-Ideal Bose Gas in One-Dimension",
"url": "https://arxiv.org/abs/quant-ph/9702045"
},
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