Theoretical Physics Reference

• Introduction
• Mathematics
  • Integration
    • General Case
    • Special Cases
    • Motivation
    • Example
  • Residue Theorem
    • Computation of Residues
    • Useful Formulas
    • Complex Substitution
  • Fourier Transform
  • Laplace Transform
  • Polar and Spherical Coordinates
  • Argument function, atan2
  • Delta Function
  • Distributions
  • Variations and Functional Derivatives
  • Spherical Harmonics
  • Dirac Notation
  • Homogeneous functions
    • Example
  • Differential Geometry
    • Manifolds
    • Examples
• Classical Mechanics, Special and General Relativity
  • Newtonian Physics
    • Introduction: Why Tensors
    • High School Formulation
    • College Formulation
    • Differential Geometry Formulation
    • Metrics
    • Obsolete section
    • Intertial frames
    • Lorentz Group
    • O(4) Group
    • Proper Time
    • FAQ
    • Questions Without Answers (Yet)
• Classical Electromagnetism
  • Maxwell’s Equations
    • Four Potential
  • Semiconductor Device Physics
    • Equations
    • Example 3
• Fluid Dynamics
  • Fluid Dynamics
    • Stress-Energy Tensor
    • Navier-Stokes Equations
    • Bernoulli’s Principle
  • MHD Equations
    • Introduction
    • Derivation
    • Finite Element Formulation
  • Compressible Euler Equations
    • Introduction
    • Dimensionless Euler Equations
    • Conservative Form of the Euler Equations
    • Weak Formulation
    • Flux Jacobians
    • 2D Version of the Equations
    • Sea Breeze Modeling
    • Boundary Conditions
    • Newton Method
    • Older notes
• Quantum Field Theory and Quantum Mechanics
  • Introduction
  • Standard Model
    • Electroweak Standard Model
    • QFT
    • Low energy theories
  • Quantum Mechanics
    • From QED to Quantum Mechanics
    • Perturbation Theory
    • Scattering Theory
  • Systematic Perturbation Theory in QM
  • Appendix
    • Units and Dimensional Analysis
    • Tensors in Special Relativity and QFT
    • Multipole expansion
  • Examples
    • Two Particles in Harmonic Potential
    • Quantum Harmonic Oscillator
    • Radial Schrödinger Equation
  • Radial Schrödinger and Dirac Equations
    • Variational Formulation of the Schrödinger equation
    • Radial Schrödinger equation
    • Variational Formulation of the Dirac equation
    • Radial Dirac equation

Indices and tables

• Index
• Search Page