ROVERE MAURO
(syllabus)
1- Bohr model for hydrogen-like atoms. Series in absorption and emission spectroscopy.
Quantum theory of the hydrogen atom. The Schoedinger equation of electron in Coulomb field. Eigenfunctions and energy levels. Classification of states. Some properties of radial atomic functions.
2- Interaction of one electron atoms with the electromagnetic field. Consequences of the time dependent perturbation theory. Adsorption and emission terms.
Transition probability for the absorption and stimulated emission. Cross section for the absorption. Spontaneous emission. Dipole approximation. Selection rules.
3- Grotrian Diagram. Polarization of radiation and helicity of the photons. Einstein coefficients. Line shape and lifetime of the levels.
4- Relativistic corrections. Spin-orbit interaction. Term of Darwin. Fine structure corrections for one electron atoms.
5- Effects of static magnetic and electric fields. Stark effect. Normal Zeeman effect. Paschen-Back effect. Anomalous Zeeman effect.
6- Definition of atomic units. Atoms with two electrons. Approximation of independent electrons. Electron-electron interaction as a perturbation. Variational method. Excited states. Coulomb and exchange energy for two electron states. Energy levels merged into continuous.
7- Many electron atoms. Central field approximation. Level scheme.
Many particle wave function, Slater determinant. Hartree-Fock equations and exchange term.
8- Level diagram and Hund rules. LS coupling. Hund rules in the presence of the spin-orbit interaction. Examples of energy levels for not equivalent electrons and equivalent electrons. J-J coupling.
9- Selection rules for atoms with many electrons in the dipole approximation.
Spectra of alkali atoms, quantum defect. Spectra of He atom and alkaline earth.
10- Molecular Physics. Born-Oppenheimer approximation. Schroedinger problem
for electrons. Equation for the nuclei.
11- The molecular hydrogen ion. Application of the LCAO method. Symmetry properties of diatomic molecules. Hydrogen molecule by the method of molecular orbitals. LCAO method in the general case. Bonding and antibonding states. Covalent and ionic bond.
12. Dynamics of nuclei. Rotational and vibrational levels. Total angular momentum
of nuclei and electrons.
13- Morse potential. Anharmonic corrections. Centrifugal corrections to the Morse potential.
14. Transitions between vibrational and rotational levels. Selection rules. Examples for eteronuclear diatomic molecules. Raman effect. Electronic transitions.
15- Franck-Condon principle.
(reference books)
B. H. Brasden and C. J. Joachain “Physics of Atoms and Molecules” [Longman, London and New York.]
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