Exact Analysis of Delta-Function Attractive Fermions and Repulsive Bosons in One-Dimension

Details Exact Analysis of Delta-Function Attractive Fermions and Repulsive Bosons in One-Dimension Exact Analysis of Delta-Function Attractive Fermions and Repulsive Bosons in One-Dimension

2005-03-02

arxiv.org/abs/cond-mat/0503033v1

Physics

Condensed Matter

Statistical Mechanics

26 pages, 5 figures

Scientific paper

10.1143/JPSJ.74.1724

The Gaudin integral equation for the ground state of a one-dimensional delta-function attractive spin-1/2 fermions is solved in the form of power series. The first few terms of the asymptotic expansions for both strong and weak coupling cases are calculated analytically. The physical quantities such as the ground state energy are expressed in terms of a single dimensionless parameter gamma =c/D, where c is the coupling constant and D is the number density. The results agree with those obtained from the perturbation calculations, which include the one in the classical electrostatics originally by Kirchhoff. In the strong coupling limit, the connection to the solutions of the Lieb-Liniger integral equation for the ground state of a one-dimensional delta-function repulsive bose gas is shown explicitly.

Affiliated with

Also associated with

No associations

Rating

Exact Analysis of Delta-Function Attractive Fermions and Repulsive Bosons in One-Dimension does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Exact Analysis of Delta-Function Attractive Fermions and Repulsive Bosons in One-Dimension, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Exact Analysis of Delta-Function Attractive Fermions and Repulsive Bosons in One-Dimension will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-283325