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The Bethe Wavefunction 1st Edition by Michel Gaudin 9781107045859 1107045851

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The Bethe Wavefunction Gaudin M. Digital Instant Download

Author(s): Gaudin M., Caux J.-S.
ISBN(s): 9781107045859, 1107045851
Edition: draft
File Details: PDF, 1.40 MB
Year: 2014
Language: english
SKU: EB-4679824 Category: Tags: ,

The Bethe Wavefunction 1st Edition by Michel Gaudin – Ebook PDF Instant Download/Delivery: 9781107045859, 1107045851

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Product details:

ISBN 10: 1107045851

ISBN 13: 9781107045859

Author: Michel Gaudin

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.

Table of 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. δ-interacting bosons

5. Bethe wavefunctions associated to a reflective group

6. Continuum limit of the spin chain

7. The six-vertex model

8. The eight-vertex model

9. The eight-vertex model: eigenvectors and thermodynamics

10. Identical particles with δ-interactions

11. Identical particles with δ-interactions: general solution for two internal states

12. Identical particles with δ-interactions: general solution for n components and limiting cases

13. Various corollaries and extensions

14. On the Toda chain

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Tags: Michel Gaudin, Bethe, Wavefunction