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 332
... configuration of the system depends on N numbers the energy of a state depends only on two numbers . The partition function can also be written as ¤ ̄ßá¡ ( B , T ) = @NB ( 1⁄4yc - B ) Σ e − 28 ( c7 - B ) N + Σ ' 8 ( N + , N ++ ) e1μ ...
... configuration of the system depends on N numbers the energy of a state depends only on two numbers . The partition function can also be written as ¤ ̄ßá¡ ( B , T ) = @NB ( 1⁄4yc - B ) Σ e − 28 ( c7 - B ) N + Σ ' 8 ( N + , N ++ ) e1μ ...
Page 377
... configuration of the atoms is determined by the ground state wave function , which , according to the variational prin- ciple , must be such as to minimize the total energy of the system , with no external constraint imposed . Hence ...
... configuration of the atoms is determined by the ground state wave function , which , according to the variational prin- ciple , must be such as to minimize the total energy of the system , with no external constraint imposed . Hence ...
Page 425
... configuration space . In each term of the sum in ( 19.65 ) , the number n = Σ is half the total k > 0 number of particles with nonzero momentum . Thus we must have N ≥ 2n . We rewrite ( 19.65 ) as follows : N / 2 | 4 % ) = ZΣ Σ ...
... configuration space . In each term of the sum in ( 19.65 ) , the number n = Σ is half the total k > 0 number of particles with nonzero momentum . Thus we must have N ≥ 2n . We rewrite ( 19.65 ) as follows : N / 2 | 4 % ) = ZΣ Σ ...
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