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Special Relativity

  • 1. Special Relativity
  • 2. Special Relativity - Notes
  • 3. Inertial reference frames and Lorentz’s transformations
  • 4. Electromagnetism

General Relativity

  • 5. General Relativity
  • 6. General Relativity - Notes
    • 6.1. Differential Geometry
    • 6.2. Einstein’s equation
    • 6.3. Examples
      • 6.3.1. Schwarzschild metrics
      • 6.3.2. Planetary orbits in Schwarzschild spacetime

Statistical Mechanics

  • 7. Statistical Physics
  • 8. Liouville theorem and Boltzmann equation
  • 9. Statistical Physics - Notes
  • 10. Statistical Physics - Statistics Miscellanea
  • 11. Ising model
    • 11.1. Ising model - Notes
    • 11.2. Markov processes
    • 11.3. Ising model - Numerics
  • 12. Entropy and arrow of time

Quantum Mechanics

  • 13. Quantum Mechanics
  • 14. Quantum Mechanics - Notes
  • 15. Wave quantum mechanics
  • 16. Angular Momentum
    • 16.1. Spatial Angular Momentum
    • 16.2. Spin
    • 16.3. Total Angular Momentum
  • 17. Density Operator
  • 18. Decoherence
  • 19. Interaction picture, perturbation theory and Einstein coefficients
  • 20. Historical Approach to Quantum Mechanics
    • 20.1. Topics
    • 20.2. Origins of Matrix and Wave Quantum Mechanics
    • 20.3. Timeline
    • 20.4. Origin of matrix mechanics
      • 20.4.1. Light dispersion
      • 20.4.2. Light matter interaction
      • 20.4.3. Radiation of moving charges - Larmor’s formula
      • 20.4.4. Modern reinterpretation of Heisenberg mechanics
    • 20.5. Origin of wave theory of quantum mechanics
      • 20.5.1. L. de Broglie, Researches of the Quantum Theory
      • 20.5.2. E. Schrodinger, “An Undulatory Theory of the Mechanics of Atoms and Molecules”
  • 21. Atomic models
    • 21.1. Thomson model
    • 21.2. Rutherford model
    • 21.3. Bohr model
    • 21.4. Sommerfeld model
      • 21.4.4. Analytical mechanics - short notes
    • 21.5. Schrodinger model
      • 21.5.1. Schrodinger model - Mathematical details of the analytical solution
      • 21.5.2. Schrodinger model - Gallery
      • 21.5.3. Auxiliary Results on Operators for the Schrödinger Model of the Hydrogen Atom
  • 22. Analtycal Mechanics - Notes for Quantum Mechanics

Solid State Physics

  • 23. Introduction to Solid State Physics
  • 24. Notes about Solid State Physics
  • 25. Introduction to Semiconductors
    • 25.1. Introduction to the QM of Solids
    • 25.2. Semiconductors in Equilibrium
    • 25.3. Carrier Transport Phenomena
    • 25.4. Non-equilibrium Excess Carriers in Semiconductors
    • 25.5. \(p\)-\(n\) Junctions
    • 25.6. \(p\)-\(n\) Diodes
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Examples

6.3. Examples#

  • Schwarzschild metric

  • Orbits in Schwarzschild spacetime

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6.2. Einstein’s equation

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6.3.1. Schwarzschild metrics

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