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 21
... quantum statistics In quantum mechanics a theorem can be proved which is analogous to Liouville's theorem derived in § 3 on the basis of classical mechanics . To do this , we first derive a general equation of quantum mechanics which ...
... quantum statistics In quantum mechanics a theorem can be proved which is analogous to Liouville's theorem derived in § 3 on the basis of classical mechanics . To do this , we first derive a general equation of quantum mechanics which ...
Page 32
... quantum - mechanical definition ( see below ) . In quantum mechanics , the situation is substantially changed . The funda- mental equation of quantum mechanics , namely Schrödinger's equation , is itself symmetrical under time reversal ...
... quantum - mechanical definition ( see below ) . In quantum mechanics , the situation is substantially changed . The funda- mental equation of quantum mechanics , namely Schrödinger's equation , is itself symmetrical under time reversal ...
Page 220
... quantum mechanics : E = Σ hw ̧ ( k ) ( μka + 1⁄2 ) , nka = 0 , 1 , 2 .... a , k ( 72.11 ) This formula enables us to define the concept of phonons as in § 71 : the excited state of the lattice may be regarded as a set of elementary ...
... quantum mechanics : E = Σ hw ̧ ( k ) ( μka + 1⁄2 ) , nka = 0 , 1 , 2 .... a , k ( 72.11 ) This formula enables us to define the concept of phonons as in § 71 : the excited state of the lattice may be regarded as a set of elementary ...
Contents
Elementary excitations in a quantum Fermi liquid | 1 |
Interaction of quasiparticles | 2 |
Magnetic susceptibility of a Fermi liquid | 3 |
Copyright | |
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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