Search

Theoretical physics III (Quantum mechanics)


  • Planck constant
  • Wave-particle dualism
    • Light
    • Massive particles
    • Consequences of the wave-particle-dualism
    • Quantum mechanics and quantum field theory
  • Schrödinger equation
    • Time-dependent Schrödinger equation
    • Statistical interpretation of the wave function
    • Momentum
    • Time-independent Schrödinger equation
  • Some one-dimensional problems
    • Free particle and wave packet
    • Infinite potential well
    • Finite potential well
    • Potential barrier
  • Mathematical methods of quantum mechanics
    • Hilbert space
    • Linear operators
    • Commutator
    • Hermitean operators
    • Quantum measurement
    • Heisenberg's uncertainty relation
    • Unitary operators
  • One-dimensional harmonic oscillator
    • Motivation
    • Creation and annihilation operators
    • Energy spectrum
    • Eigenstates
  • Angular momentum
    • Angular momentum operator
    • Angular momentum as generator for rotations
    • Angular momentum eigenvalue problem
    • Orbital angular momentum in spherical coordinates
    • Problem of the phase operator
  • Hydrogen problem
    • Central potentials
    • Coulomb problem
    • Energy spectrum
    • Eigenstates
  • Perturbation theory
    • Nondegenerate time-independent perturbation theory
    • Degenerate time-independent perturbation theory
    • Time-dependent perturbation theory
    • Schrödinger, Heisenberg, and interaction picture
  • Charge in a magnetic field
    • Hamiltonian
    • Aharonov-Bohm effect
    • Zeeman effect
  • Spin
    • Pauli matrices
    • Pauli equation
    • Spin in a magnetic field
  • Addition of angular momenta
    • Total angular momentum
    • Coupling of two spins 1/2
    • Coupling of arbitray angular momenta
  • Identical particles
    • Bosons and fermions
    • Helium