
Course unit
ADVANCED QUANTUM PHYSICS
INP5070467, A.A. 2019/20
Information concerning the students who enrolled in A.Y. 2018/19
ECTS: details
Type 
ScientificDisciplinary Sector 
Credits allocated 
Core courses 
FIS/03 
Material Physics 
6.0 
Course unit organization
Period 
Second semester 
Year 
2nd Year 
Teaching method 
frontal 
Type of hours 
Credits 
Teaching hours 
Hours of Individual study 
Shifts 
Practice 
1.0 
8 
17.0 
No turn 
Lecture 
5.0 
40 
85.0 
No turn 
Examination board
Board 
From 
To 
Members of the board 
2 STRUCTURE OF MATTER 
01/10/2018 
30/11/2019 
SALASNICH
LUCA
(Presidente)
DELL'ANNA
LUCA
(Membro Effettivo)
ANCILOTTO
FRANCESCO
(Supplente)

Prerequisites:

All the exams of the B.Sc. in Physics. 
Target skills and knowledge:

Second quantization of the electromagnetic field. Electromagnetic transitions. Relativistic wave equations and the spin of the electron. Interacting manybody quantum systems. Second quantization of the nonrelativistic matter field. 
Examination methods:

Colloquium of about 30 minutes. 
Assessment criteria:

Acquired knowledge and skills exhibition. 
Course unit contents:

1. Second quantization of the electromagnetic field.
Properties of the classical electromagnetic field in the vacuum.
Coulomb Gauge. Expansion in plane waves of the vector potential. Quantum oscillators and quantization of the electromagnetic field. Fock states and coherent states of the electromagnetic field. Electromagnetic field at finite temperature.
2. Electromagnetic transitions. An atom in the presence of the electromagnetic field. Fermi golden rule. Diple approximation.
Absorption, stimulated and spontaneus emission of radiation:
Einstein coefficients. Selection rules. Lifetime of atomic states and linewidths. Population inversion and laser light.
3. The Spin of the Electron. KleinGordon and Dirac equations. The Pauli equation and the spin. Dirac equation with a central potential. Relativistic hydrogen atom and fine splitting.
4. Manybody quantum systems. Identical particles. Bosons and BoseEinstein condensation. Fermions and Pauli exclusion principle. Veriational principle. Hartree variational method for bosons and the GrossPitaevskii equation. HartreeFock variational method for fermions. Density functional theory:
theorems of HoembergKohn, density functional of ThomasFermiDiracVon Weizsacker and density functional of KhomSham.
5. Second quantization of the Schrodinger field. Field operators for bosons and fermions. Fock and coherent states of the bosonic field operator. Schrodinger field at finite temperature. Matter field for interacting bosons and fermions. Bosons in a doublewell potential and the twosite BoseHubbard model. 
Planned learning activities and teaching methods:

36 hours of theoretical lessons and 12 hours of exercises. 
Additional notes about suggested reading:

Book written by the lecturer. 
Textbooks (and optional supplementary readings) 

L. Salasnich, Quantum Physics of Light and Matter. Photons, Atoms and StronglyCorrelated Systems.. Berlin: Springer, 2017.

B.H. Bransden and C.J. Joachain, Physics of Atoms and Molecules. Upper Saddle River: Prentice Hall, 2003.

Innovative teaching methods: Teaching and learning strategies
 Lecturing
 Problem based learning
 Questioning
 Workintegrated learning
 Loading of files and pages (web pages, Moodle, ...)
Innovative teaching methods: Software or applications used

