《量子统计力学导论》是一部量子统计方面的经典著作,是从数学物理观点写的量子统计的超级经典,也包含经典统计的部分内容。可以作为研究生教材,甚至是高年级本科生的教材,也可以物理专业普通读者作为了解这个学科的基本量子模型的参考图书。
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
(俄罗斯)N.N.勃格留波夫(N.N.Bogolubov),(俄罗斯)N.N.小勃格留波夫(N.N.Bogolubov Jr.),都是数学物理的很好大师,《量子统计力学导论》是一部量子统计方面的经典著作 。