Book contents
- Frontmatter
- Contents
- Foreword
- Translator's note
- Introduction
- 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 with a reflection 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
- References
- Index
Foreword
Published online by Cambridge University Press: 05 April 2014
- Frontmatter
- Contents
- Foreword
- Translator's note
- Introduction
- 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 with a reflection 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
- References
- Index
Summary
It is my pleasure to welcome this translation of the original French version of my book La fonction d'onde de Bethe into English.
The theory of exactly solvable models, perhaps more than any other subfield of many-body physics, has the distinct advantage of providing solid, reliable and longlasting knowledge. This latter characteristic perhaps explains why my original text, which is by now over three decades old, is still used by members of the scientific community, despite too many mistakes and neglects on my part. This is why the present work of J.-S. Caux is more than a translation, for by his revision he has drawn ‘new from old’ thanks to his style and rigour.
Despite all the developments which the field has known in the intervening period, and which are of course not treated or mentioned here, the fact probably remains that much of what is presented has not been too deprecated in the years since the original version appeared. I am convinced that this translation will bring to a much larger readership an accurate image of the status of the knowledge on these fascinating models at the moment of publication of the original. The initiative and merit belong to the translator, to whom I express my gratitude.
- Type
- Chapter
- Information
- The Bethe Wavefunction , pp. ixPublisher: Cambridge University PressPrint publication year: 2014