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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.
\(p\)
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\(n\)
Junctions
25.6.
\(p\)
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\(n\)
Diodes
Repository
Open issue
Index