Study the fundamental properties of atoms and molecules with the application of Quantum Mechanics with particular attention to interaction of systems with the electromagnetic field. Atomic and molecular spectra
teacher profile | teaching materials


1- Bohr model for hydrogenoid atoms. Spectroscopic series in absorption and emission.
Quantum theory for the hydrogenoid atom. The Schoedinger equation of an electron in the Coulomb field.
Eigenfunctions and energy levels. Classification of states. Some properties of radial atomic functions.

2- Interaction of the hydrogenoid atom with the e.m. The interaction
electron-field e.m. treated with the theory of dependent perturbations
from time. Term of absorption and term of issue.
Transition probability for absorption and stimulated emission.
Cross section for absorption. Spontaneous emission.
Dipole approximation. Selection rules.

3- Grotrian's diagram. Radiation polarization and helicity of the photons. Einstein coefficients.
Shape of lines due to lifetime levels.

4- Relativistic corrections. Spin-orbit interaction. Darwin term.
Fine structure corrections to the hydrogenoid atoms.

5- Effects of static electric and magnetic fields. Stark effect. Effect Normal Zeeman. Paschen-Back effect. Abnormal Zeeman effect.

6- Definition of atomic units. Two-electron atoms.
Independent electron approximation. Interaction
electron-electron as perturbation. Variational method. Excited states.
Coulomb energy and exchange for states with two electrons. Levels of energy immersed in the continuous.

7- Atoms with many electrons. Central field approximation. scheme
of levels. Many particle wave function, Slater determinant.
Hartree-Fock equations and exchange term.

8- Hund scheme of levels and rules. LS coupling Rules of Hund in the presence of the term spin-orbit. Examples of energy levels for non-equivalent electrons and for equivalent electrons. Coupling j-j.

9- Selection rules for atoms with many electrons in the approximation of dipole. Spectra of alkaline atoms, quantum defect. Spectra of the atom of He is an alkaline earth.

10- Molecular Physics. Born-Oppenheimer approximation. Problem of Schroedinger for electrons. Equation for nuclei.

11- Molecular hydrogen ion. Application of the LCAO method.
Symmetry properties of diatomic molecules. Hydrogen molecule with the molecular orbitals method. LCAO method in general.
Binding and anti-binding states. Covalent bond and ionic bond.

12- Dynamics of nuclei. Rotational and vibrational levels. Moment total angular of nuclei and electrons.

13- Potential of Morse. Anharmonic corrections. Centrifugal corrections to the potential of Morse.

14- Transitions between vibrational and rotational levels. Selection rules.
Examples for diatomic etronuclear molecules.
Raman effect. Electronic transitions.

15- Franck-Condon principle.

Core Documentation

B. H. Bransden and C. J. Joachain "Physics of Atoms and Molecules" (I-st or II-nd edition)

Type of delivery of the course

Both lessons and exercises will be performed at the blackboard, additionally some special topics will be developed through the use of powerpoint presentations.

Type of evaluation

written and oral examination The final exam includes a written test and an oral exam. Two exemption tasks are foreseen. Rules for written exams. Two problems will be proposed, one of Atomic Physics and one of Molecular Physics. A distinction must be made between students who have passed at least one of the exemption assignments and the others. A) Students who have had enough marks for one or both exemptions can participate and decide whether to do one or both of these problems. The delivery of the task implies the cancellation of the result of the exemption. B) For students who have not passed any of the exemptions it is not possible to carry out a single problem, for example that of atomic and leave the other, for example of molecular, for a later task. The vote is comprehensive and covers the entire task. C) The written grade and the exemption can be maintained until the oral exam in September (included). It should be noted that the written exams will not contain the theory question that was present in the exemption assignments.