Basic theoretical physics

Front Matter....Pages I-XV
Front Matter....Pages 1-1
Space and Time....Pages 3-4
Force and Mass....Pages 5-9
Basic Mechanics of Motion in One Dimension....Pages 11-15
Mechanics of the Damped and Driven Harmonic Oscillator....Pages 17-21
The Three Classical Conservation Laws; Two-particle Problems....Pages 23-29
Motion in a Central Force Field; Kepler’s Problem....Pages 31-40
The Rutherford Scattering Cross-section....Pages 41-43
Lagrange Formalism I: Lagrangian and Hamiltonian....Pages 45-53
Relativity I: The Principle of Maximal Proper Time (Eigenzeit)....Pages 55-62
Coupled Small Oscillations....Pages 63-69
Rigid Bodies....Pages 71-84
Remarks on Non-integrable Systems: Chaos....Pages 85-87
Lagrange Formalism II: Constraints....Pages 89-93
Accelerated Reference Frames....Pages 95-100
Relativity II: E=ms 2 ....Pages 101-105
Front Matter....Pages 107-107
Introduction and Mathematical Preliminaries to Part II....Pages 109-117
Electrostatics and Magnetostatics....Pages 119-144
Magnetic Field of Steady Electric Currents....Pages 145-152
Maxwell’s Equations I: Faraday’s Law of Induction; the Continuity Equation; Maxwell’s Displacement Current....Pages 153-162
Maxwell’s Equations II: Electromagnetic Waves....Pages 163-177
Front Matter....Pages 107-107
Applications of Electrodynamics in the Field of Optics....Pages 179-201
Conclusion to Part II....Pages 203-203
Front Matter....Pages 205-205
On the History of Quantum Mechanics....Pages 207-210
Quantum Mechanics: Foundations....Pages 211-221
One-dimensional Problems in Quantum Mechanics....Pages 223-230
The Harmonic Oscillator I....Pages 231-233
The Hydrogen Atom according to Schrödinger’s Wave Mechanics....Pages 235-240
Abstract Quantum Mechanics (Algebraic Methods)....Pages 241-248
Spin Momentum and the Pauli Principle (Spin-statistics Theorem)....Pages 249-254
Spin-orbit Interaction; Addition of Angular Momenta....Pages 255-257
Ritz Minimization....Pages 259-260
Perturbation Theory for Static Problems....Pages 261-265
Time-dependent Perturbations....Pages 267-270
Magnetism: An Essentially Quantum Mechanical Phenomenon....Pages 271-276
Cooper Pairs; Superconductors and Superfluids....Pages 277-278
On the Interpretation of Quantum Mechanics (Reality?, Locality?, Retardation?)....Pages 279-291
Quantum Mechanics: Retrospect and Prospect....Pages 293-296
Appendix: “Mutual Preparation Algorithm” for Quantum Cryptography....Pages 297-298
Front Matter....Pages 299-299
Introduction and Overview to Part IV....Pages 301-302
Phenomenological Thermodynamics: Temperature and Heat....Pages 303-311
Front Matter....Pages 299-299
The First and Second Laws of Thermodynamics....Pages 313-325
Phase Changes, van der Waals Theory and Related Topics....Pages 327-334
The Kinetic Theory of Gases....Pages 335-341
Statistical Physics....Pages 343-347
The Transition to Classical Statistical Physics....Pages 349-352
Advanced Discussion of the Second Law....Pages 353-358
Shannon’s Information Entropy....Pages 359-361
Canonical Ensembles in Phenomenological Thermodynamics....Pages 363-368
The Clausius-Clapeyron Equation....Pages 369-370
Production of Low and Ultralow Temperatures; Third Law of Thermodynamics....Pages 371-375
General Statistical Physics (Formal Completion; the Statistical Operator; Trace Formalism)....Pages 377-378
Ideal Bose and Fermi Gases....Pages 379-381
Applications I: Fermions, Bosons, Condensation Phenomena....Pages 383-412
Applications II: Phase Equilibria in Chemical Physics....Pages 413-425
Conclusion to Part IV....Pages 427-430
Back Matter....Pages 431-452