Semiclassical Physics (frontiers In Physics)
by Matthias Brack /
1997 / English / DjVu
3.8 MB Download
Semiclassical Physics
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.
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.