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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 to...
The proceedings of this workshop contains 5 important papers by S A Edwards on the Edwards Model and includes discussions on recent theoretical developments in polymer physics.A few decades ago, polymers were not considered part of conventional physics. However, the scenario changed drastically in the sixties and seventies with the introduction of path integral methods, fields theory in the n → limits, and renormalization group approach. A vital step in this progress is the path integral Hamiltonian that S F Edwards proposed in 1965-66 to study a single chain. This model now called the Edwards model, is considered to be the minimal model for polymers, and it has been phenomenal in unraveling the universal properties of polymers, be it a single chain or many, equilibrium or dynamics. It has now crossed the boundary of polymers and is finding applications through appropriate generalizations in many other problems.
This book reports new results in condensed matter physics for which topological methods and ideas are important. It considers, on the one hand, recently discovered systems such as carbon nanocrystals and, on the other hand, new topological methods used to describe more traditional systems such as the Fermi surfaces of normal metals, liquid crystals and quasicrystals. The authors of the book are renowned specialists in their fields and present the results of ongoing research, some of it obtained only very recently and not yet published in monograph form.
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