
STRUCTURE OF MATTER
Second cycle degree in PHYSICS
Campus:
PADOVA
Language:
English
Teaching period:
Second Semester
Lecturer:
LUCA SALASNICH
Number of ECTS credits allocated:
6
Prerequisites:

All the exams of the B.Sc. in Physics. 
Examination methods:

Colloquium of about 30 minutes. 
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. 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.
4. 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. 

