Giampiero Esposito, Giuseppe Marmo, Gennaro Miele, George SudarshanCambridge University Press, 11/6/2014EAN 9781107076044, ISBN10: 1107076048Hardcover, 397 pages, 24.6 x 18.9 x 2.2 cmLanguage: EnglishIntroducing 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.Preface1. Introductionthe need for a quantum theory2. Experimental foundations of quantum theory3. Waves and particles4. Schrödinger picture, Heisenberg picture and probabilistic aspects5. Integrating the equations of motion6. Elementary applications1-dimensional problems7. Elementary applicationsmultidimensional problems8. Coherent states and related formalism9. Introduction to spin10. Symmetries in quantum mechanics11. Approximation methods12. Modern pictures of quantum mechanics13. Formulations of quantum mechanics and their physical implications14. Exam problemsGlossary of geometric conceptsReferencesIndex.
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