What is the minimum size of phase space in classical and quantum mechanical statistics?

In classical statistical mechanics, the minimum size of phase space is determined by the volume of the phase space that corresponds to distinguishable particles, which is infinite unless restricted by constraints. In quantum mechanics, however, phase space is quantized, leading to a minimum size defined by Planck's constant, ( h ). Specifically, in quantum statistics, each quantum state occupies a volume of ( h^3 ) in phase space for three-dimensional systems, establishing the fundamental limit on the number of accessible states. Thus, while classical phase space can be infinitely large, quantum phase space has a minimum granularity dictated by quantum principles.