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 169
... integral of the form I f ( e ) de e ( 8-14 ) / T +1 where ƒ ( e ) is a function such that the integral converges ; in ( 56.6 ) , ƒ ( ɛ ) = ε3 / 2 . We transform this integral by the substitution ε - μ = Tz : -μIT MIT f ( μ + Tz ) e2 + 1 ...
... integral of the form I f ( e ) de e ( 8-14 ) / T +1 where ƒ ( e ) is a function such that the integral converges ; in ( 56.6 ) , ƒ ( ɛ ) = ε3 / 2 . We transform this integral by the substitution ε - μ = Tz : -μIT MIT f ( μ + Tz ) e2 + 1 ...
Page 176
... integrals , denoted by I , we have Ik == log | 1 + exp ( inke μπε T inkр ? exp exp de dp ,. вн 2mBH In the integral over P ,, the important values are p2 / 2m ~ BH . The oscillatory part of the integral , however , comes from the range ...
... integrals , denoted by I , we have Ik == log | 1 + exp ( inke μπε T inkр ? exp exp de dp ,. вн 2mBH In the integral over P ,, the important values are p2 / 2m ~ BH . The oscillatory part of the integral , however , comes from the range ...
Page 382
... integral is therefore zero . The integral along the infinite semicircle is also zero . The point wo is avoided by means of an infinitesimal semicircle whose radius o tends to zero . The direction of integration is clockwise , and the ...
... integral is therefore zero . The integral along the infinite semicircle is also zero . The point wo is avoided by means of an infinitesimal semicircle whose radius o tends to zero . The direction of integration is clockwise , and the ...
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