Dynamical Correlation Functions for an Impenetrable Bose Gas with Neumann or Dirichlet Boundary Conditions

DOI

10.2991/jnmp.1999.6.1.7How to use a DOI?

Abstract

We study the time and temperature dependent correlation functions for an impenetrable Bose gas with Neumann or Dirichlet boundary conditions (x1, 0) (x2, t) ±,T . We derive the Fredholm determinant formulae for the correlation functions, by means of the Bethe Ansatz. For the special case x1 = 0, we express correlation functions with Neumann boundary conditions (0, 0) (x2, t) +,T , in terms of solutions of nonlinear partial differential equations which were introduced in [1] as a generalization of the nonlinear Schrödinger equations. We generalize the Fredholm minor determinant formulae of ground state correlation functions (x1) (x2) ±,0 in [2], to the Fredholm determinant formulae for the time and temperature dependent correlation functions (x1, 0) (x2, t) ±,T , t R, T 0.

Copyright

© 2006, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - Takeo Kojima
PY  - 1999
DA  - 1999/02/01
TI  - Dynamical Correlation Functions for an Impenetrable Bose Gas with Neumann or Dirichlet Boundary Conditions
JO  - Journal of Nonlinear Mathematical Physics
SP  - 99
EP  - 119
VL  - 6
IS  - 1
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.1999.6.1.7
DO  - 10.2991/jnmp.1999.6.1.7
ID  - Kojima1999
ER  -