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 397
... theory which results from this assumption is analogous to the zero - order approximation in the classi- cal kinetic theory of gases and leads to nonviscous hydrodynamics . Specifically , the assumption is that P and k , are independent ...
... theory which results from this assumption is analogous to the zero - order approximation in the classi- cal kinetic theory of gases and leads to nonviscous hydrodynamics . Specifically , the assumption is that P and k , are independent ...
Page 410
... THEORY The Hamiltonian In this section we are interested in solving , by perturbation theory , the Schrödinger equation † ( K + 2 ) Y = EY ( 19.4 ) where N 1 K = ΣΤ 2m j = 1 Ω = i < j Απα Σvij a = d ( r , r , ) rii Vii arii m ( 19.5 ) ...
... THEORY The Hamiltonian In this section we are interested in solving , by perturbation theory , the Schrödinger equation † ( K + 2 ) Y = EY ( 19.4 ) where N 1 K = ΣΤ 2m j = 1 Ω = i < j Απα Σvij a = d ( r , r , ) rii Vii arii m ( 19.5 ) ...
Page 469
... theory of , 316ff . Photons , properties of , 253 masslessness of , 258 Planck's constant , 154 , 193 , 214 Planck's radiation formula , 256 Poincaré cycle , 89 Poincaré's theorem , 88 Postulate of equal a priori probability , in ...
... theory of , 316ff . Photons , properties of , 253 masslessness of , 258 Planck's constant , 154 , 193 , 214 Planck's radiation formula , 256 Poincaré cycle , 89 Poincaré's theorem , 88 Postulate of equal a priori probability , in ...
Contents
THE LAWS OF THERMODYNAMICS | 3 |
SOME APPLICATIONS OF THERMODYNAMICS | 33 |
THE PROBLEM OF KINETIC THEORY | 55 |
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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