目录 Preface PART IQUANTUM STATISTICAL MECHANICS CHAPTER 1THE LIOUVILLE EQUATION IN CLASSICAL MECHANICS 1.Introduction:Statistical approach in classical and quantum mechanics 2.The classical statistical approach a)A transformation operator G b)Probability density D c)The Liouville theorem d)Time dependent probability density Dt,to 3.Quantum analogy 4.Symmetry properties 5.Isolated dynamical systems 6.A system of identical monoatomic molecules 7.Property of reversibility CHAPTER 2THE LIOUVILLE EQUATION IN QUANTUM MECHANICS 1.The X-representation 2.Quantum statistical approach a)Statistical operators b)The Liouville equation c)Operator Ut, to d)Properties of the statistical operators 3.Symmetry properties 4.Discrete X-representation 5.Discrete momentum representation 6.Compatibility with the Schroedinger equation 7.Limit transition and cyclic boundary condition 8.An isolated dynamical system 9.Conservation and non-conservation of particle number a)N-particle wave functions b)X-representation for variable particle numbers c)The Hilbert space of wave functions and its subspaces d)A projection operator e)A combined index CHAPTER 3CANONICAL DISTRIBUTION AND THERMODYNAMIC FUNCTIONS 1.Integrals of motion 2.The Gibbs canonical distribution 3.Thermodynamic functions 4.Quasi-static processes a)The concept of quasi-static process b)Construction of quasi-static processes c)Interpretation of terms d)Heat capacity e)Homogeneous systems f)Relation between H and E 5.Passing to limits a)Basic assumptions b)Boundary surface c)Limits d)Validity of speculations on passing to limits 6.The grand canonical ensemble a)Statistical operators b)Definitions of μ,Γ,and G c)Uniqueness of μj …… PART IISOME ASPECTSOF THE METHOD OF SECONDARY QUANTIZATION PART IIIQUADRATIC HAMILTONIANS AND THEIR APPLICATION PART IVSUPERFLUIDITY AND QUASI-AVERAGES IN PROBLEMSOFSTATISTICALMECHANICS Photos Index
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