A201
Course Coordinator: 
Denis Konstantinov
Quantum Mechanics
Description: 

Basic course in non-relativistic quantum mechanics. Wave functions and the Schrödinger Equation; Hilbert space; central forces and angular momentum; one-dimensional problems including particle in box, tunneling, and harmonic oscillator; hydrogen atom; Pauli principle; scattering; electron spin; Dirac notation; matrix mechanics; the density matrix; time-independent perturbation theory; Heisenberg picture; time-dependent perturbations; degenerate harmonic oscillators; electrons in a uniform magnetic field; quantized radiation field; absorption and emission of radiation; symmetry principles, entanglement. 

Aim: 
To introduce students to basic concepts and techniques in quantum mechanics
Detailed Syllabus: 
  1. Quantum description of a particle, Schrödinger equation, notations
  2. The Heisenberg picture and implications
  3. Spin ½ particles, magnetic field effects and resonance
  4. One-dimensional harmonic oscillators, Hamiltonians
  5. Particle in a box; tunneling, coupled oscillators
  6. Coherent states; phonons and photons
  7. Angular momentum, spherical harmonics
  8. Approximation methods
  9. Electrons in a uniform field
  10. Time-independent perturbation theory
  11. Fine and hyperfine structure of the Hydrogen atom
  12. Time-dependent perturbation theory
  13. Scattering theory
  14. Radiation and absorption
  15. Entanglement and information transfer
Course Type: 
Elective
Credits: 
2
Assessment: 
Homework: 20%, Midterm Exams: 2 x 30%, Final Exam, 20%.
Text Book: 
Quantum Mechanics: Vol I & II, by Cohen-Tannoudji, Diu, Laloe (1977). Wiley-Interscience
Reference Book: 
Principles of Quantum Mechanics 2 edn, by Shankar (1994) Springer
Atom-Photon Interactions, by Cohen-Tannoudji, Dupont-Roc, Grynberg (1998) Wiley-Interscience
Statistical Mechanics, 3 edn, by Pathria and Beale (2011) Academic Press