Contents -- Preface -- 1. Introduction -- 1.1 Why is the Topic of the Book Worthwhile Studying? -- 1.2 Thermodynamics -- 1.3 Statistical Mechanics: Simple Models -- 1.4 Mermin-Hohenberg Theorem -- 2. Quantum Spin-1/2 Chain with the Nearest-Neighbour Couplings -- 2.1 One-Dimensional Spin Hamiltonian -- 2.2 Ising Chain -- 2.3 Isotropic XY Ring -- 2.4 Ising Chain in a Transverse Magnetic Field -- 2.5 Dimerized XY Chain -- 3. Co-ordinate Bethe Ansatz for a Heisenberg-Ising Ring -- 3.1 Bethe Ansatz -- 3.2 Simple Solutions of the Bethe Ansatz Equations: Strings -- 3.3 Thermodynamic Bethe Ansatz -- 3.4 The Ground State Behaviour -- 3.5 Magnetic Field Behaviour in the Ground State: Wiener-Hopf Method -- 4. Correlated Electron Chains: Co-ordinate Bethe Ansatz -- 4.1 Hubbard Chain -- 4.2 t-J Chain -- 5. Algebraic Bethe Ansatz -- 5.1 The Algebraic Bethe Ansatz for a Spin-1/2 Chain -- 5.2 SU(2)-Symmetric Spin-S Chain -- 5.3 The Algebraic Bethe Ansatz for Correlated Electron Models -- 6. Correlated Quantum Chains with Open Boundary Conditions -- 6.1 Open Boundaries. XY and Ising Chains -- 6.2 Open Boundaries: Co-ordinate Bethe Ansatz for the Heisenberg-Ising Chain -- 6.3 Open Boundaries. The Algebraic Bethe Ansatz -- 6.4 Open Hubbard Chain -- 6.5 Open Supersymmetric t-J Chain -- 7. Correlated Quantum Chains with Isolated Impurities -- 7.1 Impurities in XY Chains -- 7.2 Impurities in Spin Chains: Bethe Ansatz -- 7.3 Impurity in Correlated Electron Chains -- 8. Correlated Quantum Chains with a Finite Concentration of Impurities -- 8.1 Impurities' Bands -- 8.2 Disodered Ensembles of Impurities in Correlated Chains. "Quantum Transfer Matrix" Approach -- 9. Finite Size Corrections in Quantum Correlated Chains -- 9.1 Finite Size Corrections for Quantum Spin Chains -- 9.2 Finite Size Corrections for Correlated Electron Chains.

9.3 Elements of Conformal Field Theory -- 9.4 Asymptotics of Correlation Functions -- 9.5 Persistent Currents in Correlated Electron Rings -- 10. Beyond the Integrability: Approximate Methods -- 10.1 Scaling Analysis -- 10.2 Bosonization -- Bibliography -- Index.