"Version: 20201201"--Title page verso.Includes bibliographical references.1. Introduction -- 1.1. General remarks : units -- 1.2. Inertial reference frames -- 1.3. Tensor fields2. Basic notions and equations of electrodynamics -- 2.1. Electrodynamics in vacuum -- 2.2. Maxwell's equations in integral form -- 2.3. Initial-boundary problem for Maxwell system in vacuum -- 2.4. Vector and scalar pot…
"Version: 20180801"--Title page verso.Includes bibliographical references.1. Phase space -- 2. Evolution of the phase space distribution function -- 3. Equilibrium distributions -- 4. Ensemble of free particles -- 5. Ensemble of interacting particles -- 6. Temperature -- 7. Pressure, stress and tension -- 8. Entropy -- 9. Gibbs distribution -- 10. Isothermal ensemble -- 11. Free energy -- 12. G…
"Version: 20181001"--Title page verso.Includes bibliographical references.1. Hypergeometric series -- 1.1. Introduction -- 1.2. The Gauss differential equation -- 1.3. Special functions -- 1.4. Properties of the hypergeometric functions -- 1.5. A conjecture2. Group theory: basics -- 2.1. Introduction -- 2.2. Invariances, symmetries, and physics -- 2.3. Discrete groups -- 2.4. The symmetric grou…
"Version: 20171101"--Title page verso.Includes bibliographical references.Preface -- 0. Introduction -- 0.1. The internal energy of equilibrium crystals -- 0.2. Microscopic order variables and their fluctuations -- 0.3. Collective order variables in propagation -- 0.4. Crystal surfaces and entropy production -- 0.5. Timescales for sampling modulated structure and thermodynamic measurements -- 0…
"Version: 20190601"--Title page verso.Includes bibliographical references and index.1. Forms of quantum mechanics -- 1.1. The Schr?odinger and Heisenberg pictures -- 1.2. Interaction picture -- 1.3. Density-matrix formulation of quantum mechanics -- 1.4. Further contents of Heisenberg's commutation relations2. Lorentz group and its representations -- 2.1. Lie algebra of the Lorentz group -- 2.2…
"Version: 20181101"--Title page verso.Includes bibliographical references.1. Linear and perturbed equations -- 1.1. Stability analysis -- 1.2. Lyapunov regularity2. Nonlinear differential equations -- 2.1. Continuous dependence and stability of solutions -- 2.2. Orbital Hausdorff dependence of the solutions -- 2.3. Differentiability of solutions3. Semilinear evolution equations -- 3.1. First-or…
"Version: 20181201"--Title page verso.Includes bibliographical references.1. Synopsis of general relativity -- 2. Curves and surfaces in E3 -- 3. Elements of topology -- 4. Differentiable manifolds -- 5. Tangent vectors and tangent spaces -- 6. Tensor algebra -- 7. Tensor fields and commutators -- 8. Differential forms and exterior calculus -- 9. Maps between manifolds -- 10. Integration on man…
"Version: 20191101"--Title page verso.Includes bibliographical references.1. Introduction -- 2. Fundamental nonlinear Schr?odinger equation -- 2.1. NLSE with cubic nonlinearity -- 2.2. Summary of subsection 2.1.1 -- 2.3. Summary of subsection 2.2.13. Nonlinear Schr?odinger equation with power law and dual power law nonlinearities -- 3.1. NLSE with power law nonlinearity -- 3.2. Summary of secti…
"Version: 20190101"--Title page verso.Includes bibliographical references.1. Non-relativistic energy density functionals -- 1.1. Introduction -- 1.2. Energy density functional kernels -- 1.3. Pairing and Coulomb functionals2. Covariant energy density functionals -- 2.1. Relativistic description of quantum systems -- 2.2. Symmetry properties of QCD -- 2.3. Effective Lagrangians for nuclear syste…
"Version: 20201101"--Title page verso.Includes bibliographical references.part I. Theory and context. 1. Nuclear structure and radioactive decay -- 1.1. Introduction to basic atomic and nuclear structure -- 1.2. Radioactive decay -- 1.3. Alpha decay -- 1.4. Beta decay -- 1.5. Fission -- 1.6. Excited states -- 1.7. Transitions between nuclear excited states : electromagnetic decay modes2. Intera…