Syllabus
* 0. Formal scheme of quantum theory
Dirac notation; theory of representations; summary of basics of quantum mechanics; pure and mixed states; density matrix
* 1. Angular momentum
Spin - Stern-Gerlach experiments; Larmor precession; Rabi oscilations; general solution of angular momentum, composition of angular momentum, complete symmetry of hydrogen
* 2. Approximate methods - variational and perturbation method
Anharmonic oscilator; coupled oscilators; hydrogen in static electric and magnetic fields
* 3. Structure of atomic spectral lines
Gross, fine and hyperfine structure of atomic levels; inclusion of relativistic and magnetic effects - Dirac and Pauli equations
* 4. Many-body problem
Antisymmetry of wave function and exchange interaction; formalism of second quantization; Hartree-Fock approximation; shell model of atoms; Born-Oppenheimer approximation; hydrogen molecule
* 5. Basics of quantum electrodynamics (non-relativistic theory)
Hamiltonian of charged particles and electromagnetic (EM) field; quantization of EM field; Time-dependent perturbation method and Fermi Golden Rule, spontaneous emission, selection rules
* 6. Basics of scattering theory
Formulation of the problem - Green function; Lippmann-Schwinger equation Elastic scattering - method of partial waves; phase analysis; low-energy limit: scattering length and effective range Inelastic scattering in Born approximation - photoeffect; atom excitation by electron, photon-atom scattering
Annotation
This course is a continuation of the course NOFY027 Introduction to Quantum Mechanics. Formal scheme of quantum theory.
Angular momentum. Approximate methods - variational and perturbation method.
Structure of atomic spectral lines. Many-body problem.
Basics of quantum electrodynamics (non- relativistic theory). Basics of scattering theory.