TY - BOOK AU - Fabian H L Essler AU - Fabian H L Essler TI - The one-dimensional Hubbard model SN - 978052114 U1 - 530.41 ESS PY - 2005/// CY - Cambridge ; New York PB - : Cambridge University Press KW - Physics KW - Hubbard model KW - Quantum theory N1 - 1. Introduction 2. The Hubbard Hamiltonian and its symmetries 3. The Bethe ansatz solution 4. String hypothesis 5. Thermodynamics in the Yang-Yang approach 6. Ground state properties in the thermodynamic limit 7. Excited states at zero temperature 8. Finite size corrections at zero temperature 9. Asymptotics of correlation functions 10. Scaling and continuum limits at half-filling 11. Universal correlations at low density 12. The algebraic approach to the Hubbard model 13. The path integral approach to thermodynamics 14. The Yangian symmetry of the Hubbard model 15. S-matrix and Yangian symmetry in the infinite interval limit 16. Hubbard model in the attractive case 17. Mathematical appendices N2 - This book presents an account of the exact solution of the Hubbard model in one dimension. The early chapters develop a self-contained introduction to Bethe's ansatz and its application to the one-dimensional Hubbard model. The later chapters address more advanced topics ER -