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List of contents
- 1: Introduction
- Part 1 Methods and Models in the Theory of Quantum Matter
- 2: Quantum Many-Particle Systems and Second Quantization
- 3: Angular Momentum
- 4: Equilibrium Statistical Mechanics
- 5: Phase Transitions, Critical Phenomena, and Finite-Size Scaling
- 6: Statistical Mechanics and Quantum Field Theory
- 7: Conformal Symmetry in Statistical Mechanics
- 8: Models of Strongly Interacting Quantum Matter
- Part 2 Algebraic Bethe Ansatz
- 9: Ice Model
- 10: General Square Lattice Vertex Models
- 11: Six-Vertex Model
- 12: Quantum Tavis-Cummings Model
- Part 3 Coordinate Bethe Ansatz
- 13: The Anisotropic Heisenberg Quantum Spin Chain
- 14: Bethe Ansatz for the Anisotropic Heisenberg Quantum Spin Chain
- 15: Bose Gas in One Dimension: Lieb-Liniger Model
- Part 4 Electronic Systems: Nested Bethe Ansatz
- 16: Electronic Systems
- Part 5 Thermodynamic Bethe Ansatz
- 17: Thermodynamics of the Repulsive Lieb-Liniger Model
- 18: Thermodynamics of the Isotropic Heisenberg Quantum Spin Chain
- Part 6 Bethe Ansatz for Finite Systems
- 19: Mathematical Tools
- 20: Finite Heisenberg Quantum Spin Chain
- References
- Index
About the author
Hans-Peter Eckles is Adjunct Professor at Ulm University. His research is focused on exactly solvable and integrable models of strongly interacting quantum systems, especially quantum optical models in collaboration with University of Gothenburg, Sweden. He organises and teaches at summer schools in Ireland and Turkey, and is involved with the development and teaching of courses in philosophy of science and research ethics at Ulm University and invited courses on research ethics (e.g. in Aachen, Berlin, Dresden, Freiburg, Göttingen, and Konstanz).
Previously, he has taught and conducted research in theoretical physics at Princeton University, University of Arizona, USA, Australian National University and University of New South Wales, Sydney, University, Universities of Tours and Nancy, France, University of Gothenburg, Sweden, University of Jyväskylä, Finland, and University of Hannover and Free University Berlin, Germany.
Summary
The book introduces tools with which models of quantum matter are built. The most important technique, the Bethe ansatz, is developed in detail to perform exact calculations of the physical properties of quantum matter.
