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Full Description
Offering a detailed account of the key concepts and mathematical apparatus of quantum mechanics, this textbook is an ideal companion to both undergraduate and graduate courses. The formal and practical aspects of the subject are explained clearly alongside examples of modern applications, providing students with the tools required to thoroughly understand the theory and apply it. The authors provide an intuitive conceptual framework that is grounded in a coherent physical explanation of quantum phenomena, established over decades of teaching and research in quantum mechanics and its foundations. The book's educational value is enhanced by the inclusion of examples and exercises, with solutions available to instructors, and an extensive bibliography is provided. Notes throughout the text provide fascinating context on the tumultuous history of quantum mechanics, the people that developed it, and the questions that still remain at its centre. This title is also available as Open Access on Cambridge Core.
Contents
1. The quantum world and its description; 2. Matter and field; 3. Quantum mechanics in the Heisenberg (matrix) picture; 4. Quantum mechanics in the Schrodinger (wave) picture. Dirac's notation; 5. One-dimensional potential steps, barriers and wells; 6. The WKB approximation. Electronic properties of solids; 7. The free particle. The time dependent Schrodinger equation; 8. Dynamics of quantum systems; 9. The one-dimensional harmonic oscillator; 10. The physics underlying quantum phenomena; 11. Angular momentum theory; 12. Central potentials. The hydrogen atom; 13. Stationary perturbation theory and the variational method; 14. The Electron Spin. Entangled states; 15. Identical-particle systems: quantum statistics. The density matrix; 16. Atoms and molecules; 17. Time-dependent perturbations. Field quantization and second quantization; 18. Elastic scattering theory; 19. Relativistic equations. An introduction; Appendix A Mathematical Tools; Bibliography; Index.