Advanced Concepts in Quantum Mechanics

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.

• 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.

'… 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