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Survey of applications of theory of collisions and rate processes to molecular problems includes molecular collisions, generalized Ehrenfest theorem, theory of reactive collisions, role of symmetry, more. 1969 edition.

Tabla de contenidos provista por Syndetics

• Part 1 The Formulation of Quantum Mechanics
• Introduction(p. 1)
• 1.1. States and observables(p. 2)
• 1.2. The equations of motion(p. 13)
• 1.2.1. The Green's operator for the Schrodinger equation(p. 15)
• Appendix 1.A. The two-body problem and the addition of angular momentum(p. 21)
• Part 2 Collision Theory
• Introduction(p. 25)
• 2.1. Stationary collision theory--the Lippmann-Schwinger equation(p. 27)
• 2.2. The Lippmann-Schwinger equation for 'structureless' molecules(p. 30)
• 2.2.1. The cross-section(p. 33)
• 2.2.2. Separable interactions(p. 39)
• 2.2.3. Partial wave analysis(p. 43)
• 2.2.4. The Born approximation(p. 50)
• 2.3. Internal excitation in collisions(p. 54)
• 2.3.1. The theory of rotational excitation(p. 60)
• 2.3.2. The Born approximation(p. 64)
• 2.4. The rate of change of observables(p. 70)
• 2.4.1. Collision rates and cross-sections(p. 73)
• 2.4.2. Collision rates in ensembles(p. 80)
• 2.4.3. The relaxation equation(p. 83)
• 2.5. Formal collision theory(p. 87)
• 2.5.1. The S matrix(p. 90)
• 2.5.2. Scattering by two potentials(p. 95)
• 2.5.3. The density of states(p. 101)
• 2.5.4. Multiple-scattering theory(p. 106)
• 2.6. Reactive collisions(p. 110)
• 2.6.1. Reaction rates(p. 113)
• 2.6.2. Operator formulation of the theory of reactive collisions(p. 117)
• 2.6.3. The yield function--absolute rate theory(p. 120)
• 2.6.4. The theory of reactive collisions in the coordinate representation(p. 123)
• 2.7. Time-dependent collision theory(p. 129)
• 2.7.1. The time evolution(p. 132)
• 2.7.2. The wave operator(p. 134)
• 2.7.3. The change in observables(p. 136)
• 2.7.4. Formal theory of reactive collisions--the Jauch resolution(p. 137)
• 2.8. Symmetry(p. 142)
• 2.8.1. Time reversal(p. 142)
• 2.8.2. Reciprocity and microscopic reversibility(p. 145)
• 2.8.3. Constants of motion(p. 148)
• 2.8.4. Permutation symmetry in collisions(p. 150)
• Appendix 2.A. Normalization of the solution of the L.S. equation(p. 154)
• Appendix 2.B. On the convolution theorem and linear systems(p. 155)
• Appendix 2.C. Intertwinning and the S operator for reactive collisions(p. 157)
• Appendix 2.D. On the long-time behaviour and adiabatic switching in collisions(p. 158)
• Appendix 2.E. The transition amplitude density method(p. 159)
• Part 3 Molecular Rate Processes
• Introduction(p. 161)
• 3.1. The partitioning technique(p. 162)
• 3.2. Molecular encounters(p. 168)
• 3.2.1. The adiabatic approximation(p. 169)
• 3.2.2. Internal excitation in collisions(p. 178)
• 3.2.3. Theories of direct reactions(p. 192)
• 3.3. Operator partitioning theory(p. 201)
• 3.3.1. Variational principles(p. 205)
• 3.4. Models in collision theory(p. 215)
• 3.4.1. The opacity function--the optical model(p. 219)
• 3.4.2. The impact parameter method(p. 231)
• 3.4.3. The adiabatic theory of reactive collisions(p. 239)
• 3.5. Statistical theories(p. 246)
• 3.5.1. The statistical approximation(p. 252)
• 3.5.2. The optical potential(p. 259)
• 3.5.3. Statistical theory for overlapping resonances(p. 265)
• 3.6. Unimolecular reactions(p. 268)
• 3.6.1. Unimolecular breakdown(p. 269)
• 3.6.2. Collision theory in ensembles(p. 283)
• 3.6.3. Excitation processes(p. 288)
• 3.7. The time-correlation method(p. 293)
• 3.7.1. Time-correlation functions(p. 294)
• 3.7.2. Linear response theory(p. 300)
• 3.7.3. The Liouville operator(p. 306)
• References(p. 314)
• Author index(p. 327)
• Subject index(p. 331)