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Synopsis
Semiclassical Physics emphasizes the close connection between the shorter classical periodic orbits, and the partially resolved quantum fluctuations in the level density and response of an autonomous finite quantum system. Particular care is taken to present a detailed derivation of Gutzwiller's trace formula, and its extensions to continuous symmetries, zeta function techniques, and diffractive orbits. Simple model examples are used to illustrate the formalism. The self-consistent mean-field approach to the many-body problem is used, and the extended Thomas-Fermi model posited for the average properties of finite fermion systems. Strutinsky's energy theorem is exploited to bring out the quantum effects in interacting systems. Experimental manifestations of quantum shell structure, and their understanding in terms of a few classical orbits, are illustrated in atomic nuclei, metal clusters, and mesoscopic devices. Chapters one, two, and eight are meant for the general reader interested in semiclassical physics and a survey of relevant experiments. The other five chapters give a detailed, but elementary, exposition of the theory aimed at the second-year graduate student level.
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About the Author
Matthias Brack was born in Basel, Switzerland, and studied IN Basel and at the Niels Bohr Institute (NBI) in Copenhagen. He spent his post-doctorate years at the NBI, Stony Brook (SUNY), and Grenoble (ILL), and is currently a professor of physics at the University of Regensburg, Germany. His main research efforts are directed toward unraveling the quantum behavior of many-fermion systems in nuclear, atomic and condensed matter physics by semiclassical methods. Rajat K. Bhaduri was born in Raipur, India. He is currently an emeritus professor of physics at McMaster University, Hamilton, Canada. He is the author, or co-author, of two other books, Models of the Nucleon and Structure of the nucleus . He is broadly interested in physics, including its semiclassical aspect. Matthias Brack was born in Basel, Switzerland, and studied IN Basel and at the Niels Bohr Institute (NBI) in Copenhagen. He spent his post-doctorate years at the NBI, Stony Brook (SUNY), and Grenoble (ILL), and is currently a professor of physics at the University of Regensburg, Germany. His main research efforts are directed toward unraveling the quantum behavior of many-fermion systems in nuclear, atomic and condensed matter physics by semiclassical methods. Rajat K. Bhaduri was born in Raipur, India. He is currently an emeritus professor of physics at McMaster University, Hamilton, Canada. He is the author, or co-author, of two other books, Models of the Nucleon and Structure of the nucleus . He is broadly interested in physics, including its semiclassical aspect.
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