COMPENDIUM OF THEORETICAL PHYSICS
NEWTONIAN MECHANICS COORDINATE SYSTEMS AND VECTORS NEWTON’S AXIOMS PHYSICAL CONSEQUENCES, CONSERVATION LAWS ACCELERATED COORDINATE SYSTEMS AND INERTIAL SYSTEMS, GALILEI INVARIANCE N-PARTICLE SYSTEMS APPLICATIONS LAGRANGIAN MECHANICS CONSTRAINING FORCES, D’ALEMBERT’S PRINCIPLE, AND LAGRANGE EQUATIONS CONSERVATION LAWS HAMILTON PRINCIPLE AND ACTION FUNCTIONAL HAMILTONIAN MECHANICS HAMILTON EQUATIONS POISSON BRACKET CANONICAL TRANSFORMATIONS HAMILTON-JACOBI EQUATION MOTION OF RIGID BODIES GENERAL MOTION OF RIGID BODIES ROTATION OF RIGID BODIES AROUND A POINT EULER ANGLES AND LAGRANGE EQUATIONS CENTRAL FORCES TWO-PARTICLE SYSTEMS CONSERVATIVE CENTRAL PROBLEMS, 1/R-POTENTIALS KEPLER’S LAWS AND GRAVITATIONAL POTENTIAL ELASTIC ONE-PARTICLE SCATTERING BY A FIXED TARGET ELASTIC TWO-PARTICLE SCATTERING RELATIVISTIC MECHANICS AXIOMS, MINKOWSKI SPACE, LORENTZ TRANSFORMATIONS RELATIVISTIC E?ECTS CAUSALITY PRINCIPLE, SPACE-, LIGHT- AND TIME-LIKE VECTORS LORENTZ-COVARIANT FORMULATION OF RELATIVISTIC MECHANICS LAGRANGE FORMULATION OF RELATIVISTIC MECHANICS 2 ELECTRODYNAMICS FORMALISM OF ELECTRODYNAMICS MAXWELL’S EQUATIONS AND LORENTZ FORCE INTERPRETATION OF MAXWELL’S EQUATIONS ENERGY AND MOMENTUM CONSERVATION PHYSICAL UNITS SOLUTIONS OF MAXWELL’S EQUATIONS IN THE FORM OF POTENTIALS SCALAR AND VECTOR POTENTIAL GAUGE TRANSFORMATIONS GENERAL SOLUTION OF THE HOMOGENEOUS WAVE EQUATIONS SPECI?C SOLUTION OF THE INHOMOGENEOUS WAVE EQUATION, RETARDED POTENTIALS LORENTZ-COVARIANT FORMULATION OF ELECTRODYNAMICS LORENTZ TENSORS LORENTZ-COVARIANT FORMULATION OF MAXWELL’S EQUATIONS TRANSFORMATIONAL BEHAVIOR OF ELECTROMAGNETIC FIELDS LORENTZ FORCE AND COVARIANCE RADIATION THEORY LI´ENARD-WIECHERT POTENTIALS RADIATION ENERGY DIPOLE RADIATION TIME-INDEPENDENT ELECTRODYNAMICS ELECTROSTATICS AND MAGNETOSTATICS MULTIPOLE EXPANSION OF STATIC POTENTIALS AND FIELDS BOUNDARY PROBLEMS IN ELECTROSTATICS I BOUNDARY PROBLEMS IN ELECTROSTATICS II FIELD DISTRIBUTIONS IN MAGNETOSTATICS ELECTRODYNAMICS IN MATTER MACROSCOPIC MAXWELL EQUATIONS MATERIAL EQUATIONS CONTINUITY CONDITIONS AT BOUNDARIES ELECTROMAGNETIC WAVES PLANE WAVES IN NONCONDUCTING MEDIA RE?ECTION AND REFRACTION SUPERPOSITION OF WAVES, WAVE PACKETS PLANE WAVES IN CONDUCTING MEDIA CYLINDRICAL HOLLOW CONDUCTOR LAGRANGE FORMALISM IN ELECTRODYNAMICS LAGRANGE AND HAMILTON FUNCTIONS OF A CHARGED PARTICLE LAGRANGE DENSITY OF THE ELECTROMAGNETIC FIELD CONSERVATION LAWS AND THE NOETHER THEOREM INTERNAL SYMMETRIES AND GAUGE PRINCIPLE 3 QUANTUM MECHANICS MATHEMATICAL FOUNDATIONS OF QUANTUM MECHANICS HILBERT SPACE LINEAR OPERATORS EIGENVALUE PROBLEMS REPRESENTATION OF VECTORS AND LINEAR OPERATORS FORMULATION OF QUANTUM THEORY LIMITS OF CLASSICAL PHYSICS POSTULATES OF QUANTUM MECHANICS QUANTUM MECHANICAL MEASUREMENT SCHR¨ODINGER PICTURE AND SCHR¨ODINGER EQUATION OTHER PICTURES OF QUANTUM THEORY REPRESENTATIONS IN QUANTUM MECHANICS ONE-DIMENSIONAL SYSTEMS ASPECTS OF THE SCHR¨ODINGER EQUATION IN COORDINATE SPACE WIDENING OF A FREE WAVE PACKET POTENTIAL STEP POTENTIAL WELL HARMONIC OSCILLATOR QUANTUM MECHANICAL ANGULAR MOMENTA GENERAL PROPERTIES OF ANGULAR MOMENTUM OPERATORS ORBITAL ANGULAR MOMENTUM SPIN ADDITION OF ANGULAR MOMENTA SPIN-ORBIT AND SPIN-SPIN COUPLING SCHR¨ODINGER EQUATION IN THREE DIMENSIONS TWO-PARTICLE SYSTEMS AND SEPARATION OF THE CENTER OF MASS DYNAMICS RADIAL SCHR¨ODINGER EQUATION FREE PARTICLES SPHERICALLY SYMMETRIC POTENTIAL WELL NAIVE HYDROGEN ATOM ELECTROMAGNETIC INTERACTIONS ELECTRON IN AN ELECTROMAGNETIC FIELD GAUGE INVARIANCE OF THE SCHR¨ODINGER EQUATION STERN-GERLACH EXPERIMENT PERTURBATION THEORY AND REAL HYDROGEN ATOM TIME-INDEPENDENT PERTURBATION THEORY STARK E?ECT FINE STRUCTURE SPLITTING ANOMALOUS ZEEMAN E?ECT HYPER?NE SPLITTING ATOMIC TRANSITIONS TIME-DEPENDENT PERTURBATION THEORY SPONTANEOUS EMISSION AND PHASE SPACE OF PHOTONS SELECTION RULES IN THE DIPOLE APPROXIMATION INTENSITY RULES 2P3/2 ?1S1/2-TRANSITION DISTINGUISHABLE PARTICLES IDENTICAL PARTICLES AND THE PAULI PRINCIPLE FERMIONIC PRESSURE 3 10 SCATTERING THEORY 3 10 1 SCATTERING AMPLITUDE AND CROSS SECTION 3 10 2 PHASE SHIFT ANALYSIS FOR CENTRALLY SYMMETRIC POTENTIALS 3 10 3 RESONANCE SCATTERING 3 10 4 PARTICLE-PARTICLE SCATTERING 4 STATISTICAL PHYSICS AND THERMODYNAMICS FOUNDATIONS OF STATISTICAL PHYSICS STATES, PHASE SPACE, ENSEMBLES, AND PROBABILITIES CLASSICAL STATISTICAL PHYSICS: PROBABILITY DENSITY QUANTUM STATISTICS: DENSITY OPERATOR TEMPORAL EVOLUTION OF AN ENSEMBLE ENSEMBLE THEORY I: MICROCANONICAL ENSEMBLE AND ENTROPY MICROCANONICAL ENSEMBLE PRINCIPLE OF MAXIMAL ENTROPY EQUILIBRIUM CONDITIONS AND GENERALIZED FORCES ENSEMBLE THEORY II: CANONICAL AND GRAND CANONICAL ENSEMBLES CANONICAL ENSEMBLE GRAND CANONICAL ENSEMBLE COMPARISON OF THE ENSEMBLES ENTROPY AND INFORMATION THEORY INFORMATION THEORY AND SHANNON ENTROPY VARIATION OF THE ENTROPY THERMODYNAMICS LAWS OF THERMODYNAMICS THERMODYNAMIC POTENTIALS STATE CHANGES AND THERMIC COE?CIENTS EQUILIBRIUM AND STABILITY HEAT MACHINES AND CYCLIC PROCESSES CLASSICAL MAXWELL-BOLTZMANN STATISTICS CLASSICAL LIMIT VIRIAL AND EQUIPARTITION THEOREMS IDEAL SPIN SYSTEMS AND PARAMAGNETISM QUANTUM STATISTICS GENERAL FORMALISM IDEAL FERMI GAS IDEAL BOSE GAS