Quantum Theory
Elements
- 1st Edition - January 1, 1961
- Imprint: Academic Press
- Editor: D. R. Bates
- Language: English
- Paperback ISBN:9 7 8 - 1 - 4 8 3 2 - 5 1 1 6 - 5
- Hardback ISBN:9 7 8 - 1 - 4 8 3 2 - 2 7 9 1 - 7
- eBook ISBN:9 7 8 - 1 - 4 8 3 2 - 7 5 8 8 - 8
Quantum Theory: A Treatise in Three Volumes, I: Elements focuses on the principles, methodologies, and approaches involved in quantum theory, including quantum mechanics, linear… Read more
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Request a sales quoteQuantum Theory: A Treatise in Three Volumes, I: Elements focuses on the principles, methodologies, and approaches involved in quantum theory, including quantum mechanics, linear combinations, collisions, and transitions. The selection first elaborates on the fundamental principles of quantum mechanics, exactly soluble bound state problems, and continuum. Discussions focus on delta function normalization, spherically symmetric potentials, rectangular potential wells, harmonic oscillators, spherically symmetrical potentials, Coulomb potential, axiomatic basis, consequences of first three postulates, and time-dependent states. The text then examines the stationary perturbation theory, variational method, and the asymptotic approximation method. Concerns cover the application of the asymptotic approximation method to potential barrier problems, method of linear combinations, lower bounds for the ground state eigenenergy, relative degeneracy, and degenerate case. The publication examines the theory of collisions and transitions, including the scattering of identical particles, Coulomb field, methods of determining scattering phases, persistent perturbations, and adiabatic approximation. The selection is a valuable source of information for researchers interested in quantum theory.
Contributors to this Volume
Preface
Contents of Volumes 10-II and 10-III
Table of Atomic Units
1. Preliminaries
1. Historical Survey
2. Differential Operators
3. Matrices
4. Equivalence of Differential Operators and Matrices
References
2. Fundamental Principles of Quantum Mechanics
1. General Definitions
2. Axiomatic Basis
3. Consequences of First Three Postulates
4. The Properties of Angular Momentum Derived by Matrix Methods
5. Time-Dependent States
References
Appendix 1. The Dirac δ-Function
1. Closure of a Complete Orthonormal Set
2. Transformation Theory
Appendix 2. Eigenstates and Eigenvalues of the Electron Spin
3. Exactly Soluble Bound State Problems
1. Rectangular Potential Wells
2. Harmonic Oscillators
3. System of Two Particles
4. Spherically Symmetrical Potentials
5. The Coulomb Potential
6. Two-Centre Coulomb Potentials
7. Momentum Wave Functions
References
Appendix 1. Hermite Polynomials
Appendix 2. Legendre Polynomials and Spherical Harmonics
Associated Legendre Polynomials
Appendix 3. Laguerre Polynomials
Associated Laguerre Polynomials
Appendix 4. Spherical Bessel Functions
4. The Continuum
1. Free Particle. Energy Wave Functions
2. Delta Function Normalization
3. Spherically Symmetric Potentials
References
Appendix. Coulomb Wave Functions
5. Stationary Perturbation Theory
1. The Rayleigh-Schrödinger Perturbation Theory
2. The Nondegenerate Case
3. The Degenerate Case
4. Perturbation Theory in Matrix Form
5. Reduction of the Degenerate Case to the Nondegenerate
6. Relative Degeneracy
7. The Lennard-Jones-Brillouin-Wigner Series Expansion
References
6. The Variational Method
1. The Rayleigh-Ritz Variational Method
2. Lower Bounds for the Ground State Eigenenergy
3. Method of Linear Combinations
4. Two-Electron Systems
5. The Virial Theorem
References
7. The Asymptotic Approximation (AA) Method
1. History and Description of the Method
2. Applications of the Method to Potential Well Problems
3. Application of the Method to Potential Barrier Problems
4. Radial Problems
References
8. Transitions
1. Variation of Constants
2. Transient Perturbations
3. Persistent Perturbations
4. Sudden Approximation
5. Time-Independent and Harmonic Perturbations
6. Adiabatic Approximation
References
9. Theory of Collisions
1. Classical Considerations
2. Quantum Theory of Scattering by a Centre of Force
3. Applications of Preceding Theory
4. Methods of Determining Scattering Phases
5. Non-Coulomb Field
6. Coulomb Field
7. Scattering of Identical Particles
8. Use of Variation Methods in the Solution of Scattering Problems
9. Scattering by a Spin Dependent Interaction
10. General Collision Theory
11. Inelastic Collisions
12. Application of Quantum Collision Theory to the Scattering of Electrons by Atoms
13. Application of Quantum Collision Theory to Problems of Nuclear Physics
References
Author Index
Subject Index
- Edition: 1
- Published: January 1, 1961
- No. of pages (eBook): 464
- Imprint: Academic Press
- Language: English
- Paperback ISBN: 9781483251165
- Hardback ISBN: 9781483227917
- eBook ISBN: 9781483275888
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