Mathematica® for Theoretical Physics

Electrodynamics, Quantum Mechanics, General Relativity, and Fractals

  • Introduction
  • Classical Mechanics
  • Nonlinear Dynamics
  • Electrodynamics
    • Introduction
    • Potential and Electric Field of Discrete Charge Distributions
    • Boundary Problem of Electrostatics
    • Two Ions in the Penning Trap
      • The Center of Mass Motion
      • Relative Motion of the Ions Exercises
    • Packages and Programs
      • Point Charges
      • Boundary Problem
      • Penning Trap
  • Quantum Mechanics
  • General Relativity
  • Fractals
    • Introduction
    • Measuring a Borderline
      • Box Counting
    • The Koch Curve
    • Multifractals
    • Multifractals with Common Scaling Factor The Renormlization Group
    • Fractional Calculus
      • Historical Remarks on Fractional Calculus 7.6.2 The Riemann–Liouville Calculus
      • Mellin Transforms
      • Fractional Differential Equations Exercises
    • Packages and Programs
      • Tree Generation
      • Koch Curves
      • Multifactals
      • Renormalization
        • Fractional Calculus
  • Appendix