Thermodynamics of the Fermi gas in a cubic cavity of an arbitrary volume

For the Fermi gas filling the space inside a cubic cavity of a fixed volume, at arbitrary temperatures and number of particles, the thermodynamic characteristics are calculated, namely: entropy, thermodynamic potential, energy, pressure, heat capacities and thermodynamic coefficients. The discrete structure of energy levels is taken into account and size effects at low temperatures are studied. The transition to the continual limit is considered.