Statistical Physics, Part 1A lucid presentation of statistical physics and thermodynamics which develops from the general principles to give a large number of applications of the theory. |
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Page 16
... density matrix ; see Quantum Mechanics , § 14. A knowledge of this matrix enables us to calculate the mean value of any quantity describing the system , and also the probabilities of various values of such quantities . The ...
... density matrix ; see Quantum Mechanics , § 14. A knowledge of this matrix enables us to calculate the mean value of any quantity describing the system , and also the probabilities of various values of such quantities . The ...
Page 17
... density matrix in the energy representation ; in statistical physics it is called the statistical matrix . * If we regard the wmn as the matrix elements of some statistical operator ŵ , then the sum ΣWmnfam will be a diagonal matrix ...
... density matrix in the energy representation ; in statistical physics it is called the statistical matrix . * If we regard the wmn as the matrix elements of some statistical operator ŵ , then the sum ΣWmnfam will be a diagonal matrix ...
Page 20
... density matrix are the prob- abilities that the system is in the corresponding quantum states . Hence , having determined the density matrix with respect to the set of functions Yp we obtain the required momentum probability ...
... density matrix are the prob- abilities that the system is in the corresponding quantum states . Hence , having determined the density matrix with respect to the set of functions Yp we obtain the required momentum probability ...
Contents
Elementary excitations in a quantum Fermi liquid | 1 |
Interaction of quasiparticles | 2 |
Magnetic susceptibility of a Fermi liquid | 3 |
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atoms axis body Bravais lattice calculate cell chemical potential classical coefficients components concentration condition constant coordinates correlation function corresponding critical point crystal denote density depends derivative determined electron elements entropy equal equation expansion expression Fermi field fluctuations formula free energy frequency gases Gibbs distribution given gives Hamiltonian Hence ideal gas integral interaction irreducible representations liquid macroscopic magnetic matrix mean square mean value molecule momenta momentum motion N₁ number of particles obtain order parameter P₁ partition function phase transition phonon plane pressure PROBLEM properties Quantum Mechanics reciprocal lattice regarded relation result rotational second kind solid solution solvent space group specific heat statistical substance Substituting subsystem suffix surface symmetry temperature theory thermal thermodynamic potential thermodynamic quantities tion total number transformation transition point vapour variables velocity vibrations volume zero ӘР