Statistical MechanicsUnlike most other texts on the subject, this clear, concise introduction to the theory of microscopic bodies treats the modern theory of critical phenomena. Provides up-to-date coverage of recent major advances, including a self-contained description of thermodynamics and the classical kinetic theory of gases, interesting applications such as superfluids and the quantum Hall effect, several current research applications, The last three chapters are devoted to the Landau-Wilson approach to critical phenomena. Many new problems and illustrations have been added to this edition. |
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Page 290
... excited state in which the particles have vanishingly small momenta the energy per particle is En N = m 2 Απαρ - Σ Пр The second term is most negative when all the excited particles are in the same momentum state . Thus we may say that ...
... excited state in which the particles have vanishingly small momenta the energy per particle is En N = m 2 Απαρ - Σ Пр The second term is most negative when all the excited particles are in the same momentum state . Thus we may say that ...
Page 424
... excited . We denote such a state by 1 , 2 , . . . ) , in which there are particles with momentum k , and the same number of particles with momentum —k . Thus ↳ g ין [ Ψ = ΖΣ Σ ... · · · · [ ( —α1 ) 11 ( — α2 ) 12 · · · ] | 41 , 12 ...
... excited . We denote such a state by 1 , 2 , . . . ) , in which there are particles with momentum k , and the same number of particles with momentum —k . Thus ↳ g ין [ Ψ = ΖΣ Σ ... · · · · [ ( —α1 ) 11 ( — α2 ) 12 · · · ] | 41 , 12 ...
Page 428
... EXCITED STATES The results in the previous section concerning the excited states have been deduced with the help of the effective Hamiltonian ( 19.46 ) . We recall that in deriving ( 19.46 ) we had in mind solely the calculation of the ...
... EXCITED STATES The results in the previous section concerning the excited states have been deduced with the help of the effective Hamiltonian ( 19.46 ) . We recall that in deriving ( 19.46 ) we had in mind solely the calculation of the ...
Contents
THE LAWS OF THERMODYNAMICS | 3 |
SOME APPLICATIONS OF THERMODYNAMICS | 33 |
THE PROBLEM OF KINETIC THEORY | 55 |
Copyright | |
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absolute zero approximation assume assumption atoms average becomes Boltzmann Bose calculate called canonical ensemble classical collision complete condition consider constant contains coordinates corresponds defined definition denoted density depends derivation determined discussion distribution effect eigenvalues elements energy ensemble entropy equal equation equilibrium excited exists expansion external fact Fermi field finite given ground Hamiltonian heat Hence ideal independent integral interaction lattice levels limit liquid magnetic mass matrix mean molecular molecules momentum n₁ obtain occupation operator particles partition function phase physical positive possible potential pressure probability problem properties quantity quantum quantum mechanics region represented respectively result satisfies shown in Fig solution specific statistical mechanics temperature theorem theory thermodynamic transformation transition unit V₁ V₂ valid volume wave function