"Version: 20250401"--Title page verso.Includes bibliographical references and index.part I. Basic concepts. 1. From Brownian motion to the Langevin equation -- 1.1. From the surprising behaviour of pollen grains to the existence of atoms -- 1.2. Toward a mathematical theory -- 1.3. Again about the Langevin equation -- 1.4. Further remarks2. The Boltzmann equation -- 2.1. Boltzmann equation in a…
"Version: 20190901"--Title page verso."A Morgan & Claypool publication as part of IOP Concise Physics"--Title page verso.Includes bibliographical references.1. Overview of thermodynamics -- 1.1. Basic concepts and terminology -- 1.2. The laws of thermodynamics -- 1.3. Fundamental equations -- 1.4. Thermal, mechanical, and chemical equilibria -- 1.5. Phase equilibria -- 1.6. Summary2. Brownian m…
"Version: 20190901"--Title page verso."A Morgan & Claypool publication as part of IOP Concise Physics"--Title page verso.Includes bibliographical references.part I. The quantum Hall effect. 1. The normal Hall effect -- 1.1. Introduction -- 1.2. The basic physics of the Hall effect -- 1.3. The Hall effect and holes -- 1.4. The effective mass tensor -- 1.5. Applications of the Hall effect2. The i…
"Version: 20210204"--Title page verso.Includes bibliographical references.1. The Heisenberg model -- 1.1. Ground state for the ferromagnet -- 1.2. Spontaneous broken symmetries -- 1.3. Ground state for the antiferromagnet -- 1.4. Excited states for the ferromagnet -- 1.5. Translational symmetry -- 1.6. Two spin waves -- 1.7. Long-range order -- 1.8. Mermin and Wagner's theorem -- 1.9. The Ising…
"Version: 202111"--Title page verso.Includes bibliographical references.1. Path integral approach -- 1.1. Path integral -- 1.2. Path integral in quantum field theory -- 1.3. Spin -- 1.4. Path integral and statistical mechanics -- 1.5. Fermion path integral2. Topology and vector spaces -- 2.1. Topological spaces -- 2.2. Group theory -- 2.3. Cocycle -- 2.4. Vector spaces -- 2.5. Linear maps -- 2.…
"Version: 20210204"--Title page verso.Includes bibliographical references.1. The fluctuation-dissipation theorem -- 1.1. Introduction -- 1.2. Linear response theory -- 1.3. Fluctuation-dissipation theorem2. Green's function method -- 2.1. Green's functions and correlations -- 2.2. Spin-waves in ferromagnets -- 2.3. Critical exponents3. Perturbative method for Green's functions -- 3.1. Time inde…
"Version: 202112"--Title page verso.Includes bibliographical references.1. Introduction -- 2. Dynamical systems -- 2.1. Canonical mechanics -- 2.2. Weakly-chaotic dynamics -- 2.3. Quantum mechanics3. Phase space lattices -- 3.1. Lattice symmetry in phase space -- 3.2. Quasinumber band theory -- 3.3. Noncommutative geometry4. Many-body physics in phase space -- 4.1. Classical many-body dynamics …
"Version: 202112"--Title page verso.Includes bibliographical references.1. Introduction -- 2. Experimental characterizations -- 2.1. STM, TEM, LEED and STS atomic and electronic structures -- 2.2. Reflection and transmission EELS : excitation spectra -- 2.3. ARPES : quasiparticle energy spectra and decay rates -- 2.4. Sensitive measurements and analyses of composite devices3. Theories for elect…
"Version: 20210207"--Title page verso.Includes bibliographical references and index.1. Direct space -- 1.1. What are crystals? -- 1.2. Miller indices -- 1.3. Symmetry operations and elements -- 1.4. Point-group symmetry -- 1.5. Translational symmetry -- 1.6. Crystal structures -- 1.7. Space groups2. The reciprocal lattice -- 2.1. A brief history -- 2.2. Definition of the reciprocal lattice -- 2…
"Version: 20220701"--Title page verso.Includes bibliographical references.1. Introduction -- 1.1. Types of excitations or waves -- 1.2. Survey of different nanostructures -- 1.3. Experimental techniques for dynamic properties -- 1.4. Theoretical methods for dynamic properties -- 1.5. Photonic band gaps in periodic structures2. Phonons -- 2.1. One-dimensional models of lattice dynamics for films…