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E-book
Author Gottfried, Kurt

Title Quantum Mechanics : Fundamentals
Published Boulder : Chapman and Hall/CRC, 2018

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Description 1 online resource (527 pages)
Series Advanced Books Classics ; v. 1
Advanced Books Classics
Contents Cover; Title Page; Copyright Page; Half Title; Publisher's Foreword; Vita; Special Preface; REFERENCES; Dedication; Preface; Acknowledgments; Table of Contents; I: Uncertainty and Complementarity; 1. Nonclassical Aspects of the Electromagnetic Field; 2. Wave-Particle Duality for Systems with Finite Rest Mass; 3. Uncertainty Relations for the Electromagnetic Field Strengths; References; II: Wave Mechanics; 4. The Free Particle; 1. The SchrÃœdinger equation; 2. Probability distributions; 3. Expectation values, operators; 4. The motion of free wave packets
5. SchrÃœdinger' s Equation for an Interacting System of Particles1. One particle in an external field; 2. The many-particle wave equation; 6. Constants of the Motion and Symmetries of the Hamiltonian; 1. Expectation values of observables and their time dependence; 2. Commutation rules; 3. Infmitesimal translations and rotations. Conservation of linear and angular momentum; 4. The two-body problem; 7. Eigenfunctions; 1. Stationary states; 2. The spectrum of the Hamiltonian; 3. Orthogonality and completeness; 4. Linear vector spaces; 5. Simultaneous eigenfunctions and compatible observables
6. Probability amplitudes8. The Classical Limit; 1. Ehrenfest's theorem; 2. The relationship between the SchrÃœdinger and Hamilton-Jacobi equations; 3. The semiclassical approximation for stationary states; Problems; III: Illustrative Solutions of SchrÃœdinger's Equation; 9. Separation of Variables in the Two-Body Problem; 1. Separation of variables; 2. Implications of rotational invariance; 10. Eigenvalues and Eigenfunctions of the Angular Momentum Operators; 1. The eigenvalues; 2. The eigenfunctions; 11. Free-Particle Wave Functions; 12. Scattering Theory
1. Integral form of SchrÃœdinger'se quation2. Time-dependent description of collision phenomena; 3. The optical theorem; 13. The Born and Eikonal Approximations; 1. The Born approximation; 2. The eikonal approximation; 14. Partial Waves; 1. The radial integral equation; 2. Scattering amplitude and phase shifts; 3. Asymptotic form of radial wave functions; 4. Bound states; 5. Scattering by complex systems; 6. Relationship to the eikonal approximation; 15. The Delta-Shell Potential; 1. Bound states; 2. Scattering states; 3. Resonances; 4. Analytic properties in the complex energy plane
16. Resonance Scattering and Exponential Decay17. The Coulomb Field; 1. Three-dimensional continuum solutions; 2. Partial wave decomposition; bound states; 3. Combined nuclear and Coulomb scattering; References; Problems; IV: The Measurement Process and the Statistical Interpretation of Quantum Mechanics; 18. The Two-Body System in a Slowly Varying External Field; 19. The Stern-Gerlach Experiment; 20. Changes of State Resulting from Measurement; 1. The density matrix. Pure states and mixtures; 2. Coherence properties of states following measurement
Notes 3. The statistical intepretation of quantum mechanics
Bibliography Includes bibliographical references and index
Notes Print version record
Subject Quantum theory.
Quantum theory
Form Electronic book
ISBN 9780429961779
0429961774
9780429972850
0429972857
9780429493225
0429493223
9780429983931
042998393X