Models of Quantum Matter

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.

• 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

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