PROBABILITY-DISTRIBUTION FUNCTION IN THE GAS OF PARAMAGNETIC PARTICLES

In this paper we consider a system of noninteracting paramagnetic part icles with a spin S in a dc magnetic field. The exact expression for t he probability distribution function of a transverse spin component is obtained for the gas in thermodynamic equilibrium. Dependences of the probability, on the thermofield parameter betamuH (beta is the invers e temperature, mu is the Bohr magneton, H is a field strength) and S a re investigated. It is shown that this distribution reflects the quant um nature of the spin and both the spin-wave and the classical approxi mation formulas are obtained.