Dynamical Correlation Functions for an Impenetrable Bose Gas with Neumann or Dirichlet Boundary Conditions
- 10.2991/jnmp.19184.108.40.206How to use a DOI?
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  as a generalization of the nonlinear Schrödinger equations. We generalize the Fredholm minor determinant formulae of ground state correlation functions (x1) (x2) ±,0 in , to the Fredholm determinant formulae for the time and temperature dependent correlation functions (x1, 0) (x2, t) ±,T , t R, T 0.
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Cite this article
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.19220.127.116.11 DO - 10.2991/jnmp.1918.104.22.168 ID - Kojima1999 ER -