Joel L. Lebowitz, Marco Lenci and Herbert Spohn
Large deviations for ideal quantum systems
(68K, LaTeX 2e)

ABSTRACT.  We consider a general d-dimensional quantum system of non-interacting 
particles, with suitable statistics, in a very large (formally 
infinite) container. We prove that, in equilibrium, the fluctuations 
in the density of particles in a subdomain of the container are 
described by a large deviation function related to the pressure of 
the system. That is, untypical densities occur with a probability 
exponentially small in the volume of the subdomain, with the 
coefficient in the exponent given by the appropriate thermodynamic 
potential. Furthermore, small fluctuations satisfy the central limit 
theorem.