Cambridge University Press, 2015, 384 pages, ISBN: 1107076048Introducing 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 Introduction: the need for a quantum theory Experimental foundations of quantum theory Waves and particles Schrödinger picture, Heisenberg picture and probabilistic aspects Integrating the equations of motion Elementary applications: 1-dimensional problems Elementary applications: multidimensional problems Coherent states and related formalism Introduction to spin Symmetries in quantum mechanics Approximation methods Modern pictures of quantum mechanics Formulations of quantum mechanics and their physical implications Exam problems Glossary of geometric concepts References
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