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Finite Size Effects in Correlated Electron Models: Exact Results
 
 
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Finite Size Effects in Correlated Electron Models: Exact Results [Hardcover]

Andrei A. Zvyagin (Author)

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Book Description

1860945031 978-1860945038 May 2005
The book presents exact results for one-dimensional models (including quantum spin models) of strongly correlated electrons in a comprehensive and concise manner. It incorporates important results related to magnetic and hybridization impurities in electron hosts and contains exact original results for disordered ensembles of impurities in interacting systems. These models describe a number of real low-dimensional electron systems that are widely used in nanophysics and microelectronics. An important method of modern theoretical and mathematical physics -- the Bethe's Ansatz (BA) -- is introduced to readers. This book presents different forms of the BA for periodic and open quantum chains. Other forms dealt with are the co-ordinate BA, thermodynamic BA, nested BA, algebraic BA, and thermal BA. The book also contains a compact description of other theoretical methods such as scaling, conformal field theory, Abelian and non-Abelian bosonizations. The book is suitable for use as a textbook by graduate students in non-perturbative methods of low-dimensional quantum many-body theory. It will also be a useful source of reference for qualified physicists, as well as non-experts in low-dimensional physics, as it explores material necessary for further studies in the fields of exactly solvable quantum models and low-dimensional correlated electron systems.

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Inside This Book (learn more)
First Sentence:
In this chapter we shall remind the reader of some basic ideas of thermodynamics and statistical physics of interacting electron and spin systems. Read the first page
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Yang Baxter, Heisenberg Ising, Hubbard Hamiltonian, Heisenberg Hamiltonian, These Bethe, Zeeman Hamiltonian
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