Basic Theoretical Physics

From the contents: Part I: Mechanics and Aspects of Relativity.- Space and Time.- Force and Mass.- Basic tasks of Mechanics for one-dimensional motions.-The damped and driven harmonic oscillator.- The three fundamental conservation laws.- Motion in central force fields.- The Rutherford scattering cross section.- Lagrange formalism I : The Lagrangian and the Hamiltonian.- Relativity I: Einstein's principle of the shortest proper time and Hamilton's principle of least-action momentum.- Coupled small oscillations.- Rigid bodies.- Remarks on non-integrable systems.- Lagrange formalism II: Constraints.- Accelerated reference frames.- Relativity II: E=mc².- Part II: Electrodynamics and aspects of optics.- Opening: Literature, internet, contents, purpose.- Introduction: units and (mathematical) prelimaries.- Electrostatics and magnetostatics.- Magnetic field of steady electric currents.- The general Maxwell equations I: Faraday's 'law of induction.- Maxwell's displacement current.- The general Maxwell equations II: Electromagnetic waves.- Applications of the electrodynamics in the field of optics.- Conclusion.- Part III: Quantum mechanics.- Introductory remarks.- References and internet.- On the history of quantum mechanics.- Quantum mechanics: Foundations.- One-dimensional problems.- The harmonic oscillator in the wave mechanics.- The hydrogen atom in the wave mechanics.- Abstract quantum mechanics (algebraic methods).- Spin momentum and Pauli's principle (the spin-statistics theorem).- Spin-orbit interaction.- The minimisation principle of Ritz.- Schrödinger's perturbation theory for the statics.- Time-dependent perturbations.- Magnetism as an essentially quantum-mechanical phenomenon.- Cooper pairs.- On the interpretation of quantum mechanics.- Conclusion: Repetition and summary on the history of quantum mechanics.- Looking back and looking forward.- Appendix: On cryptography and quantum cryptography.- Part IV: Thermodynamics and Statistical Physics.- Introductionand

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