- 96-363 T. Kojima and V. Korepin
- Differential equation for temperature-dependent
correlation function of Delta-interacting Bose gas
Aug 13, 96
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Abstract. We consider the quantum nonlinear Schr\"odinger equation
in one space and one time dimension.
It is equivalent to Bose gas with delta interaction.
We are interested in the non-free-fermionic case.
We calculate temperature-dependent correlation functions.
The determinant representation for correlation functions
simplifies in the small mass limit of the Bose particle.
In this limit we describe the correlation function in terms of
the Maxwell-Bloch differential equation.
We solve this equation at large distance and evaluate
asymptotics of correlation functions.