Syllabus
Basic concepts of quantum theory. State space, operators, measurement. Composite systems.
Operators of basic measurable quantities. Spectral decomposition. Energy and momentum. Stationary states. Basics of representation theory, unitary transformations. Angular momentum.
Simple solvable models. Particle in spherical potential, linear harmonic oscillator, particle in lattice.
Quantum dynamics. Schrödinger equation. Schrödinger, Heisenberg and interaction (Dirac) representation. Green's functions. Classical limit of quantum theory, correspondence principle.
Approximation methods I: variational principle, perturbation expansions, WKB approximation.
Basics of nonrelativistic scattering theory. Time dependent/independent formulation. Variational formulation. S and T matrix. Optical theorem. Born approximation. Limits of low and high energies. Partial wave expansion, phase shifts.
Resonances.
Particle in Coulomb field. Bound states and scattering.
Annotation
More advanced course of nonrelativistic quantum theory in the extent of state examination in theoretical physics. Basic concepts of the quantum theory.
Simple solvable models. Quantum dynamics.
Approximation methods. Basics of nonrelativistic scattering theory.
Particles in Coulomb field.