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Books > Science & Mathematics > Physics > States of matter > Condensed matter physics (liquids & solids)
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Topology and Condensed Matter Physics (Hardcover, 1st ed. 2017)
Loot Price: R6,475
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Topology and Condensed Matter Physics (Hardcover, 1st ed. 2017)
Series: Texts and Readings in Physical Sciences, 19
Expected to ship within 12 - 17 working days
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This book introduces aspects of topology and applications to
problems in condensed matter physics. Basic topics in mathematics
have been introduced in a form accessible to physicists, and the
use of topology in quantum, statistical and solid state physics has
been developed with an emphasis on pedagogy. The aim is to bridge
the language barrier between physics and mathematics, as well as
the different specializations in physics. Pitched at the level of a
graduate student of physics, this book does not assume any
additional knowledge of mathematics or physics. It is therefore
suited for advanced postgraduate students as well. A collection of
selected problems will help the reader learn the topics on one's
own, and the broad range of topics covered will make the text a
valuable resource for practising researchers in the field. The book
consists of two parts: one corresponds to developing the necessary
mathematics and the other discusses applications to physical
problems. The section on mathematics is a quick, but more-or-less
complete, review of topology. The focus is on explaining
fundamental concepts rather than dwelling on details of proofs
while retaining the mathematical flavour. There is an overview
chapter at the beginning and a recapitulation chapter on group
theory. The physics section starts with an introduction and then
goes on to topics in quantum mechanics, statistical mechanics of
polymers, knots, and vertex models, solid state physics, exotic
excitations such as Dirac quasiparticles, Majorana modes, Abelian
and non-Abelian anyons. Quantum spin liquids and quantum
information-processing are also covered in some detail.
General
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