Advanced Topics in Quantum Mechanics
Advanced Topics in Quantum Mechanics
CAD$79.95
Quantum mechanics is one of the most successful theories in science, and is relevant to nearly all modern topics of scientific research. This textbook moves beyond the introductory and intermediate principles of quantum mechanics frequently covered in undergraduate and graduate courses, presenting in-depth coverage of many more exciting and advanced topics. The author provides a clearly structured text for advanced students, graduates and researchers looking to deepen their knowledge of theoretical quantum mechanics. The book opens with a brief introduction covering key concepts and mathematical tools, followed by a detailed description of the Wentzel–Kramers–Brillouin (WKB) method. Two alternative formulations of quantum mechanics are then presented: Wigner's phase space formulation and Feynman's path integral formulation. The text concludes with a chapter examining metastable states and resonances. Step-by-step derivations, worked examples and physical applications are included throughout.
- Covers many advanced mathematical techniques in quantum mechanics, each illustrated with detailed examples
- Presents two alternative formulations of quantum mechanics; the path integral and phase space formulations, which are useful in advanced applications
- Provides a pedagogical and thorough overview of the exact WKB method, which plays an increasingly important role in many areas of modern physics
Reviews & endorsements
'This volume dwells on three advanced and useful approaches to nonrelativistic quantum theory: the WKB method in exact form, phase-space quantization (Weyl--Wigner, Husimi), and path integrals. A majority of the covered topics are ignored by mainstream textbooks, making this text quite innovative. The exposition is comprehensive and pedagogically oriented, with numerous concrete examples detailed. This will prove a valuable textbook for academics and students aiming beyond basic quantum theory, to make them fluent and assist their teaching in several areas that actively serve in current research.' André Voros, Institut de Physique Théorique, CEA-Saclay, France
Product details
December 2021Adobe eBook Reader
9781108852852
0 pages
This ISBN is for an eBook version which is distributed on our behalf by a third party.
Table of Contents
- Preface
- 1. Propagator and resolvent
- 2. The WKB method and non-perturbative effects
- 3. The phase space formulation of quantum mechanics
- 4. The path integral formulation of quantum mechanics
- 5. Metastable states
- Appendix A: Asymptotic series and Borel resummation
- Appendix B: Special functions
- Appendix C: Gaussian integration
- References
- Index.
