Advanced Concepts in Quantum Mechanics
Cambridge University Press, 11/6/2014
EAN 9781107076044, ISBN10: 1107076048
Hardcover, 397 pages, 24.6 x 18.9 x 2.2 cm
Language: English
Introducing a geometric view of fundamental physics, starting from quantum mechanics and its experimental foundations, this book is ideal for advanced undergraduate and graduate students in quantum mechanics and mathematical physics. Focusing on structural issues and geometric ideas, this book guides readers from the concepts of classical mechanics to those of quantum mechanics. The book features an original presentation of classical mechanics, with the choice of topics motivated by the subsequent development of quantum mechanics, especially wave equations, Poisson brackets and harmonic oscillators. It also presents new treatments of waves and particles and the symmetries in quantum mechanics, as well as extensive coverage of the experimental foundations.
Preface
1. Introduction
the need for a quantum theory
2. Experimental foundations of quantum theory
3. Waves and particles
4. Schrödinger picture, Heisenberg picture and probabilistic aspects
5. Integrating the equations of motion
6. Elementary applications
1-dimensional problems
7. Elementary applications
multidimensional problems
8. Coherent states and related formalism
9. Introduction to spin
10. Symmetries in quantum mechanics
11. Approximation methods
12. Modern pictures of quantum mechanics
13. Formulations of quantum mechanics and their physical implications
14. Exam problems
Glossary of geometric concepts
References
Index.