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Bethe wavefunction / Michel Gaudin.

By: Contributor(s): Material type: TextTextPublication details: Cambridge : CUP, 2014.Description: xv, 324 pISBN:
  • 9781107045859
Subject(s): DDC classification:
  • 530.124 23 G267
Contents:
1. The chain of spin-1/2 atoms-- 2. Thermodynamic limit of the Heisenberg-Ising chain-- 3. Thermodynamics of the spin-1/2 chain: Limiting cases-- 4. -Interacting bosons-- 5. Beth wavefunctions associated with a feflection group-- 6. Continuum limit of the spin chain-- 7. The six-vertex model-- 8. The eight-vertex model-- 9. The eitht-vertex model: Eigenvectors and thermodynamics-- 10. Identical particles with -interactions-- 11. Identical particles with -interactions: General solution for two internal states-- 12. Indentical particles with -interactions: General solution for n components and limiting cases-- 13. Various corollaries and extensions-- 14. On the Toda chain-- References-- Index.
Summary: Michel Gaudin's book La fonction d'onde de Bethe is a uniquely influential masterpiece on exactly solvable models of quantum mechanics and statistical physics. Available in English for the first time, this translation brings his classic work to a new generation of graduate students and researchers in physics. It presents a mixture of mathematics interspersed with powerful physical intuition, retaining the author's unmistakably honest tone. The book begins with the Heisenberg spin chain, starting from the coordinate Bethe Ansatz and culminating in a discussion of its thermodynamic properties. Delta-interacting bosons (the Lieb-Liniger model) are then explored, and extended to exactly solvable models associated to a reflection group. After discussing the continuum limit of spin chains, the book covers six- and eight-vertex models in extensive detail, from their lattice definition to their thermodynamics. Later chapters examine advanced topics such as multi-component delta-interacting systems, Gaudin magnets and the Toda chain.
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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 530.124 G267 (Browse shelf(Opens below)) Available 135515
Total holds: 0

translated from the French original 'La fonction d'onde de Bethe' (1983) by Jean-Sébastien Caux.

Includes bibliographical references and index.

1. The chain of spin-1/2 atoms--
2. Thermodynamic limit of the Heisenberg-Ising chain--
3. Thermodynamics of the spin-1/2 chain: Limiting cases--
4. -Interacting bosons--
5. Beth wavefunctions associated with a feflection group--
6. Continuum limit of the spin chain--
7. The six-vertex model--
8. The eight-vertex model--
9. The eitht-vertex model: Eigenvectors and thermodynamics--
10. Identical particles with -interactions--
11. Identical particles with -interactions: General solution for two internal states--
12. Indentical particles with -interactions: General solution for n components and limiting cases--
13. Various corollaries and extensions--
14. On the Toda chain--

References--
Index.

Michel Gaudin's book La fonction d'onde de Bethe is a uniquely influential masterpiece on exactly solvable models of quantum mechanics and statistical physics. Available in English for the first time, this translation brings his classic work to a new generation of graduate students and researchers in physics. It presents a mixture of mathematics interspersed with powerful physical intuition, retaining the author's unmistakably honest tone. The book begins with the Heisenberg spin chain, starting from the coordinate Bethe Ansatz and culminating in a discussion of its thermodynamic properties. Delta-interacting bosons (the Lieb-Liniger model) are then explored, and extended to exactly solvable models associated to a reflection group. After discussing the continuum limit of spin chains, the book covers six- and eight-vertex models in extensive detail, from their lattice definition to their thermodynamics. Later chapters examine advanced topics such as multi-component delta-interacting systems, Gaudin magnets and the Toda chain.

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