Advanced Concepts in Quantum Mechanics

ISBN-13: 9781107076044 / Angielski / Twarda / 2014 / 397 str.

Giampiero Esposito

Opis

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.

Recenzje

'… excellent, clear … [The authors'] exposition of unique physical insights together with their detailed mathematical expression is most welcome. Each chapter contains problem sets and there are references and an index. The chapter on experimental foundations of quantum theory is replete with rare physical explanations and insights. The various approximation methods are presented in a unified approach as are the modern pictures of quantum mechanics. This textbook provides a good introduction to the tomographic picture which allows classical and quantum descriptions to [be] compared.' Optics and Photonics News

Spis treści

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.