Pressure and compressibility in a quantum one-component plasma
With the help of scaling methods, a general relation is established between the thermodynamic pressure and the mechanical pressure tensor of an equilibrium one-component plasma in a magnetic field. The mechanical pressure tenser is shown to be anisotropic. A general proof of the compressibility sum rule for a magnetized quantum plasma is presented. Finally, fourth-order wavenumber inequalities for the static charge correlation function are derived.
Collective modes of the quantum one-component plasma in a magnetic field
Abstract We derive the collective modes of a quantum one-component plasma in a magnetic field by using a projection operator technique. With the help of these modes the long-time behaviour of the time correlation functions for the charge density, the current density and the energy density is determined in the limit of small wavenumbers.
The caloric and thermal equation of state in quantum statistical mechanics
Abstract It is shown that in classical as well as in quantum mechanics the “dynamic” expressions for the caloric and thermal equations of state obtained with the method of quantum statistical mechanics are identical with the expressions obtained by the partition function method of statistical thermodynamics.