Question

Consider a quantum system with a single quantum state (an "orbital") with zero energy (e=0). The system is in thermal and diffusive contact with a reservoir at temperature t and chemical potential u. the particles are fermions, so the occupation of the quantum state is either 1 or 0.

a) make 3 plots of the average occupation number of the quantum state , <N> as a function of u, with u ranging from -5 to 5 eV, for t =.01 eV, 1.0 eV, and 10 eV.

Answer 1