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Fundamentals of Many-body Physics - Principles and Methods (Paperback, Softcover reprint of hardcover 1st ed. 2009)
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Fundamentals of Many-body Physics - Principles and Methods (Paperback, Softcover reprint of hardcover 1st ed. 2009)
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The goal of the present course on "Fundamentals of Theoretical
Physics" is to be a direct accompaniment to the lower-division
study of physics, and it aims at providing the ph- ical tools in
the most straightforward and compact form as needed by the students
in order to master theoretically more complex topics and problems
in advanced studies and in research. The presentation is thus
intentionally designed to be suf?ciently detailed and
self-contained - sometimes, admittedly, at the cost of a certain
elegance - to permit in- vidual study without reference to the
secondary literature. This volume deals with the quantum theory of
many-body systems. Building upon a basic knowledge of quantum
mechanics and of statistical physics, modern techniques for the
description of interacting many-particle systems are developed and
applied to various real problems, mainly from the area of
solid-state physics. A thorough revision should guarantee that the
reader can access the relevant research literature without
experiencing major problems in terms of the concepts and
vocabulary, techniques and deductive methods found there. The world
which surrounds us consists of very many particles interacting with
one another, and their description requires in principle the
solution of a corresponding number
ofcoupledquantum-mechanicalequationsofmotion(Schrodinger ]
equations), which, h- ever, is possible only in exceptional cases
in a mathematically strict sense. The concepts of elementary
quantum mechanics and quantum statistics are therefore not directly
applicable in the form in which we have thus far encountered them.
They require an extension and restructuring, which is termed
"many-body theory.""
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