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Chapter: 9 / Q: 7
At low temperatures, the internal energy of a system of free electrons may be written as an expansion
Chapter: 9 / Q: 8
Consider a system of free fermions in d dimensions, with the energy spectrum
Chapter: 9 / Q: 9
Consider again the gas of N ultrarelativistic free electrons, within a container of volume V ,
Chapter: 9 / Q: 10
In the classical paramagnetic theory of Langevin, pro- posed before the advent of quantum statistics, we assume a classical Hamiltonian, given by
Chapter: 9 / Q: 11
Obtain an expression for the magnetic susceptibility asso- ciated with the orbital motion of free electrons in the presence of a uniform magnetic field H,
Chapter: 10 / Q: 1
Consider a system of ideal bosons of zero spin (r = 1), within a container of volume V
Chapter: 10 / Q: 2
Consider again the same problem for an ideal gas of two- dimensional bosons confined to a surface of area A
Chapter: 10 / Q: 3
Consider an ideal gas of bosons with internal degrees of freedom. Suppose that,
Chapter: 10 / Q: 4
Consider a gas of non-interacting bosons associated with the energy spectrum
Chapter: 10 / Q: 5
The Hamiltonian of a gas of photons within an empty cavity of volume V is given by the expression
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