Thermostatistics of The G-on Gas

In this study, The particles of the quantum gases, namely bosons and fermions are regarded as g-ons by the paremeter of the fractional exclusion statistics g. With this point of departure, the distribution function of the g-on gas is obtained by the variational, steepest descent and statistical methods. The distribution functions which are found by means of these three methods are compared. It is seen that the thermostatistical formulations of the quantum gases can be unified. By suitable choices of g standard relations of statistical mechanics of the Bose and Fermi systems are recovered.