The main theme of the book is focused on the intimate connection between the two families of exactly solvable models: the inverse-square exchange (ISE) and the nearest-neighbour exchange (NNE) models. The latter are better known as the Bethe-ansatz solvable models and include the Heisenberg spin chain, t-J models, Hubbard models, etc. The former, the Calogero-Sutherland family of models, are simple to solve and contain essentially the same physics as the NNE family. The author introduces and discusses the current topics, such as the Luttinger liquid concept, fractional statistics, and spin-charge separation, in the context of the explicit models.
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Front Cover | Front Flap | Table of Contents | First Pages | Index | Back Flap | Back Cover | Surprise Me!
Inside This Book
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First Sentence:
The intimate interaction between natural science and technology (namely, the use of technological innovations in studying fundamental laws of nature and the use of scientific guiding principles in developing new technology ) in the past few centuries have been extremely productive to say the least. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
spin rapidities, holon condensate, fractional exclusion statistics, excitation content, fractional statistics, highest weight states, various correlation functions, spin chain, exchange statistics, quantum symmetry, string configuration, elementary excitations, phase shift function, string structure, spin excitations, string picture, hole excitation, symmetric polynomials, solvable models, continuum space, exchange operator, thermodynamic limit, linearized models Key Phrases - Capitalized Phrases (CAPs): (learn more)
Numerical Demonstration of the Strings, Proof of Theorem, Compact Supports of Various Correlation Functions, Interpolation of Anti-Holon Charge, Investigation of Other Thermodynamic Quantities, Asymptotic Expansion New!
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Front Cover | Front Flap | Table of Contents | First Pages | Index | Back Flap | Back Cover | Surprise Me!
The intimate interaction between natural science and technology (namely, the use of technological innovations in studying fundamental laws of nature and the use of scientific guiding principles in developing new technology ) in the past few centuries have been extremely productive to say the least. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
spin rapidities, holon condensate, fractional exclusion statistics, excitation content, fractional statistics, highest weight states, various correlation functions, spin chain, exchange statistics, quantum symmetry, string configuration, elementary excitations, phase shift function, string structure, spin excitations, string picture, hole excitation, symmetric polynomials, solvable models, continuum space, exchange operator, thermodynamic limit, linearized models Key Phrases - Capitalized Phrases (CAPs): (learn more)
Numerical Demonstration of the Strings, Proof of Theorem, Compact Supports of Various Correlation Functions, Interpolation of Anti-Holon Charge, Investigation of Other Thermodynamic Quantities, Asymptotic Expansion New!
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Front Cover | Front Flap | Table of Contents | First Pages | Index | Back Flap | Back Cover | Surprise Me!
Citations (learn more)
This book cites 21
books:
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- Many Particle Physics (Physics of Solids and Liquids) by Gerald D. Mahan in Back Matter
- Yang-Baxter Equation In Integrable Systems (Advanced Series in Mathematical Physics) by Michio Jimbo in Back Matter
- Statistical Mechanics (North-Holland Personal Library) by R. Kubo in Back Matter
- Symmetric Functions and Hall Polynomials (Oxford Mathematical Monographs) by I. G. Macdonald in Back Matter
- Statistical Thermodynamics and Stochastic Theory of Nonlinear Systems Far from Equilibrium (Advanced Series in Statistical Mechanics) by Werner Ebeling in Front Matter
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