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Sources of the quantum theory. The main experimental facts. Wave function and their physical interpretation. Schroedinger equation as a constraint on the physical state. Feynman's formulation of the quantum mechanics (path integration) and classical limit.
Quantum mechanics postulates. States and observables, measurable physical values. Operators, Hermithian operators.
Dirac formalism. State vector. Eigenvalues and eigenfunctions. Unitary transformation.
Hamiltonian operator. Time dependent Schroedinger equation. Continuity equation. Density of probability, flow density. Time dependence of observables. Commutators, conservation of values.
Harmonic oscillator, coherent states.
Orbital momentum. Spherical harmonics. Parity. Addition of momentums. Spin and spinors.
Hydrogen atom. Radial equation. Energy spectrum, degeneracy.
Common approach. Case of degeneracy. Hydrogen Stark effect. Spin orbit interaction. Zeeman effect, permitted and forbidden spectral lines.
Quantization of the free electromagnetic field, hamiltonian. Rate of emission and absorption. Dipole approximation. Selection rules.
Amplitude and crossection of scattering. Elastic scattering. Green's function. Born approximation. Phase theory. Low energy scattering.
Landau L.D., Lifshitz E.M. Quantum mechanics.- M.: Nauka, 1974.
Messiah A. Quantum mechanics.-M.: Nauka, Vol.1, 1978, Vol.2, 1979.
Davidov A.S. Quantum mechanics.-M.: Nauka, 1973.
Iroshnikov G.S. Path integral and coherent states in quantum mechanics and field theory. -M.: MIPT, 1997.
Galitskii V.M. et al. Tasks on quantum mechanics.-M.: Nauka, 1981.