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 165
... density is small . We first find the condition under which the fluctuation of density is small . The probability that a system in the grand canonical ensemble has N ' particles is proportional to W ( N ' ) = 21'QN- ( V , T ) = eßuN ...
... density is small . We first find the condition under which the fluctuation of density is small . The probability that a system in the grand canonical ensemble has N ' particles is proportional to W ( N ' ) = 21'QN- ( V , T ) = eßuN ...
Page 187
... density matrix . Before we define the density matrix let us note that an operator is defined when all its matrix elements with respect to a complete set of states are defined . Its matrix elements with respect to any other complete set ...
... density matrix . Before we define the density matrix let us note that an operator is defined when all its matrix elements with respect to a complete set of states are defined . Its matrix elements with respect to any other complete set ...
Page 290
... density , and it may be interpreted to be the energy shift of an average particle in the “ optical approximation ... density just above the ground state , changing the single - particle spectrum p2 / 2m into a phonon spectrum hcp / 2m ...
... density , and it may be interpreted to be the energy shift of an average particle in the “ optical approximation ... density just above the ground state , changing the single - particle spectrum p2 / 2m into a phonon spectrum hcp / 2m ...
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