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Theoretical physics I for materials scientists


  • Classical mechanics
    • Modelling in classical mechanics
    • Newton's axioms
    • Conservation laws
      • Conservation laws for point masses
      • Application of energy conservation
      • Conservation laws for systems of point masses
      • Application to the Kepler problem
    • Rigid body
      • Degrees of freedom of a ridig body
      • Momentum of inertia tensor
      • Dynamics of a rigid body
    • Vibrating systems
      • Driven harmonic oscillator
      • Harmonic oscillations of a system of point masses
      • Vibrating string
    • Theory of elasticity
      • Displacement tensor
      • Strain tensor
      • Elasticity tensor
      • Elastic waves
    • Hydrodynamics
      • Continuity equation
      • Euler's equation
      • Stationary flow
      • Viscuos liquids
      • Summary of continuum mechanics
  • Electrodynamics
    • Maxwell equations
    • Electrostatics
      • Coulomb's law
      • Charge and dipole densities on surfaces
      • Electrostatic energy
    • Magnetostatics
      • Linear current-carrying conductor
      • Ring current and magnetic moment
    • Matter in the electromagnetic field
      • Polarization and electric displacement
      • Polarization and magnetization current
    • Energy-momentum tensor
      • Energy density and Poynting vector
      • Maxwell's stress tensor
  • Quantum mechanics
    • Schrödinger equation
      • Time-dependent Schrödinger equation
      • Statistical interpretation of the wave function
      • Momentum
      • Time-independent Schrödinger equation
    • Mathematical methods of quantum mechanics
      • Hilbert space
      • Linear operators
    • Harmonic oscillator
      • Position representation
      • Creation and annihilation operators
    • Angular momentum
      • Angular momentum operators
      • Angular momentum eigenvalue problem
      • Orbital angular momentum in spherical coordinates
      • Spin
      • Spin in a magnetic field
    • Perturbation theory
      • Nondegenerate time-independent perturbation theory