
Course unit
FUNDAMENTALS OF MODERN PHYSICS
SCP9086380, A.A. 2019/20
Information concerning the students who enrolled in A.Y. 2019/20
ECTS: details
Type 
ScientificDisciplinary 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 
Hours of Individual study 
Shifts 
Lecture 
6.0 
48 
102.0 
No turn 
Examination board
Board 
From 
To 
Members of the board 
1 Commissione Fundamentals of Modern Physics 
01/10/2019 
30/11/2020 
MAURIZIO
CHIARA
(Presidente)
PATELLI
ALESSANDRO
(Membro Effettivo)
CESCA
TIZIANA
(Supplente)

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 oneelectron atom.
2) Time independent perturbation theory (non degenerate and degenerate case). Examples. Timedependent perturbation theory: perturbation switched on at to and then constant, periodic perturbation. Rabi frequency.
3) Interaction of oneelectron atom with an electromagnetic field. Transition rate, dipole approximation, cross section for stimulate absorption/emission. Spontaneous emission. Selection rules for oneelectron 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, solidstate laser. Modern spectroscopies: examples of subDoppler spectroscopies.
5) Photoelectric effect: cross section for oneelectron 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 oneelectron atoms: spinorbit, Darwin and relativistic terms. Calculation of some electronic energy levels for onelectron atoms. Lamb shift. Elements of hyperfine structure. 21cm transition of H.
8) Zeeman effect: normal (examples, observed transitions and polarization, PaschenBach case), anomalous, case of ultra strong magnetic fields.
9) StarkLo Surdo effect for oneelectron 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) Manyelectron atoms. Triplet and singlet states. Pauli exclusion principle (strong and weak conditions). Helium atom (independent electron model, nuclear effective charge). Ground state for a twoelectron atom: first order perturbation. Pure discrete excited states, Auger effect. Variational method and application to for the ground state of a twoelectron atom.
11) Central potential for a twoelectron atom. Hartree theory and results. Slater determinant. Note on the HartreeFock method. Results, periodic table of the elements.
12) Correction to the central field: LS coupling (examples of electronic configuration, degeneracy.). jj coupling.
13) Molecules: BornOppenheimer approximation. Schroedinger solution of H2+ molecule by linear combination of atomic orbitals and of H2. Vibrational and rotational dynamics.
14) Quantum statistics, occupation index: BoseEinstein and FermiDirac 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.

Gasiorowicz, Stephen, Quantum Physics. Hoboken: J. Wiley, 2003.

Eisberg, Robert M.; Resnick, Robert, Quantum Physics of Atoms, Molecules, Solids, Nuclei and Particles. New York: Wiley, 1985.

McGervey, John D., Solutions Manual for Introduction to Modern Physics. Orlando: Academic Press, 1984.

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)
Sustainable Development Goals (SDGs)

