Table of Contents:
  • The quantum propagator
  • Old quantum theory
  • A ball bouncing off a moving wall
  • A pendulum with variable string length
  • The phase space of a simple harmonic oscillator
  • Three-dimensional anisotropic harmonic oscillator
  • Wave packets in Rydberg atoms
  • The large-n limit in the Bohr atom
  • Where are the periodic orbits in quantum mechanics?
  • Chaotic motion: atoms in a magnetic field
  • Scaling of classical Hamiltonian and chaos
  • Quasi-Landau resonances in atomic photoabsorption
  • Chaos and periodic orbits in mesoscopic systems
  • Ballistic magnetoresistance in a cavity
  • Scars in the wave function
  • Tunneling in a quantum diode with a tilted magnetic field
  • Electron transport in a superlattice of antidots
  • Quantization of integrable systems
  • Hamiltonian formalism and the classical limit
  • Hamilton-Jacobi theory and wave mechanics
  • The WKB method
  • WKB in one dimension
  • WKB for radial motion
  • Torus quantization: from WKB to EBK
  • The two-dimensional hydrogen atom
  • The three-dimensional hydrogen atom
  • The two-dimensional disk billiard
  • Connection to classical periodic orbits
  • Example: The two-dimensional rectangular billiard
  • Transition from integrability to chaos
  • Destruction of resonant tori
  • The model of Walker and Ford
  • The single-particle level density
  • Level density and other basic tools
  • Separation of g(E) into smooth and oscillating parts
  • Some exact trace formulae
  • The linear harmonic oscillator
  • General spectrum depending on one quantum number
  • One-dimensional box.