First cycle
degree courses
Second cycle
degree courses
Single cycle
degree courses
School of Science
Course unit
SCP9086380, A.A. 2019/20

Information concerning the students who enrolled in A.Y. 2019/20

Information on the course unit
Degree course Second cycle degree in
SC2490, Degree course structure A.Y. 2019/20, A.Y. 2019/20
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Degree course track Common track
Number of ECTS credits allocated 6.0
Type of assessment Mark
Course unit English denomination FUNDAMENTALS OF MODERN PHYSICS
Website of the academic structure
Department of reference Department of Physics and Astronomy
Mandatory attendance
Language of instruction English
Single Course unit The Course unit can be attended under the option Single Course unit attendance
Optional Course unit The Course unit can be chosen as Optional Course unit

Teacher in charge CHIARA MAURIZIO FIS/03

ECTS: details
Type Scientific-Disciplinary Sector Credits allocated
Core courses FIS/03 Material Physics 6.0

Course unit organization
Period First semester
Year 1st Year
Teaching method frontal

Type of hours Credits Teaching
Hours of
Individual study
Lecture 6.0 48 102.0 No turn

Start of activities 30/09/2019
End of activities 18/01/2020
Show course schedule 2019/20 Reg.2019 course timetable

Prerequisites: Fundamentals of quantum physics and structure of matter.
Target skills and knowledge: The aim of the course is to provide students with competences of atomic and molecular physics and of quantum statistics.
Examination methods: Oral exam about topics discussed during lectures.
Assessment criteria: It will be evaluated the acquired degree of knowledge and understanding of the concepts and principles of the course.
Course unit contents: 1) Solution of the Schroedinger equation for a system of two particles in a central potential. Spherica harmonics and radial solution. Relevant expectation values. Virial theorem for a one-electron atom.
2) Time independent perturbation theory (non degenerate and degenerate case). Examples. Time-dependent perturbation theory: perturbation switched on at to and then constant, periodic perturbation. Rabi frequency.
3) Interaction of one-electron atom with an electromagnetic field. Transition rate, dipole approximation, cross section for stimulate absorption/emission. Spontaneous emission. Selection rules for one-electron atoms. Spin of photons: Beth experiment. Sum rule.
4) Lifetime of an electronic state. Line shape: pressure and Doppler broadening. Examples. Laser, maser. Ammonia maser, solid-state laser. Modern spectroscopies: examples of sub-Doppler spectroscopies.
5) Photoelectric effect: cross section for one-electron atom in 1s state. Comparison with experimental data.
6) Scattering: differential cross section for elastic and inelastic (Rayleigh and Thomson) scattering. Partial waves and corresponding cross section calculation.
7) Composition of angular momenta. Fine structure of one-electron atoms: spin-orbit, Darwin and relativistic terms. Calculation of some electronic energy levels for on-electron atoms. Lamb shift. Elements of hyperfine structure. 21-cm transition of H.
8) Zeeman effect: normal (examples, observed transitions and polarization, Paschen-Bach case), anomalous, case of ultra strong magnetic fields.
9) Stark-Lo Surdo effect for one-electron atoms: linear (n=1, n=2) and quadratic (n=2). Atomic static polarizability. Quenching of the 2s state of hydrogen. Ionization indiced by an electric field.
10) Many-electron atoms. Triplet and singlet states. Pauli exclusion principle (strong and weak conditions). Helium atom (independent electron model, nuclear effective charge). Ground state for a two-electron atom: first order perturbation. Pure discrete excited states, Auger effect. Variational method and application to for the ground state of a two-electron atom.
11) Central potential for a two-electron atom. Hartree theory and results. Slater determinant. Note on the Hartree-Fock method. Results, periodic table of the elements.
12) Correction to the central field: L-S coupling (examples of electronic configuration, degeneracy.). j-j coupling.
13) Molecules: Born-Oppenheimer approximation. Schroedinger solution of H2+ molecule by linear combination of atomic orbitals and of H2. Vibrational and rotational dynamics.
14) Quantum statistics, occupation index: Bose-Einstein and Fermi-Dirac cases with examples.
Planned learning activities and teaching methods: Lectures in Italian.
Additional notes about suggested reading: The topics of the course can be complemented/deepened with the help of the suggested textbooks.
Textbooks (and optional supplementary readings)
  • Bransden, Brian Harold; Joachain, Charles J., Physics of Atoms and Molecules. Harlow: Prentice Hall, 2003. Cerca nel catalogo
  • Gasiorowicz, Stephen, Quantum Physics. Hoboken: J. Wiley, 2003. Cerca nel catalogo
  • Eisberg, Robert M.; Resnick, Robert, Quantum Physics of Atoms, Molecules, Solids, Nuclei and Particles. New York: Wiley, 1985. Cerca nel catalogo
  • McGervey, John D., Solutions Manual for Introduction to Modern Physics. Orlando: Academic Press, 1984. Cerca nel catalogo

Innovative teaching methods: Teaching and learning strategies
  • Lecturing
  • Case study
  • Interactive lecturing
  • Loading of files and pages (web pages, Moodle, ...)

Innovative teaching methods: Software or applications used
  • Moodle (files, quizzes, workshops, ...)
  • One Note (digital ink)

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