Advanced Concepts in Quantum Mechanics

Description

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.

Giampiero Esposito is Primo Ricercatore at the Istituto Nazionale di Fisica Nucleare. His contributions have been devoted to quantum gravity and quantum field theory on manifolds with boundary. Giuseppe Marmo is Professor of Theoretical Physics at Naples University. His research interests are in the geometry of classical and quantum dynamical systems, deformation quantization and constrained and integrable systems. Gennaro Miele is Associate Professor in Theoretical Physics at the University of Naples 'Federico II', Italy. His main research interests are primordial nucleosynthesis and neutrino cosmology. George Sudarshan is Professor of Physics in the Department of Physics, University of Texas, Austin. His research has revolutionized the understanding of classical and quantum dynamics.

'... 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