First cycle
degree courses
Second cycle
degree courses
Single cycle
degree courses
School of Science
PHYSICS
Course unit
ADVANCED QUANTUM PHYSICS
SCP6076137, A.A. 2016/17

Information concerning the students who enrolled in A.Y. 2016/17

Information on the course unit
Degree course Second cycle degree in
PHYSICS
SC1171, Degree course structure A.Y. 2014/15, A.Y. 2016/17
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Degree course track Common track
Number of ECTS credits allocated 6.0
Type of assessment Mark
Course unit English denomination ADVANCED QUANTUM PHYSICS
Website of the academic structure http://fisica.scienze.unipd.it/2016/laurea_magistrale
Department of reference Department of Physics and Astronomy
Mandatory attendance No
Language of instruction English
Branch PADOVA
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

Lecturers
Teacher in charge LUCA SALASNICH FIS/03

Mutuated
Course unit code Course unit name Teacher in charge Degree course code
INP5070467 ADVANCED QUANTUM PHYSICS LUCA SALASNICH IN2191

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

Course unit organization
Period Second semester
Year 1st 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

Calendar
Start of activities 27/02/2017
End of activities 09/06/2017

Examination board
Board From To Members of the board
2 Advanced Quentum Physics 01/10/2017 30/11/2018 SALASNICH LUCA (Presidente)
DELL'ANNA LUCA (Membro Effettivo)
ANCILOTTO FRANCESCO (Supplente)
UMARI PAOLO (Supplente)
1 Advanced Quentum Physics 01/10/2016 30/09/2017 SALASNICH LUCA (Presidente)
DELL'ANNA LUCA (Membro Effettivo)
ANCILOTTO FRANCESCO (Supplente)
UMARI PAOLO (Supplente)

Syllabus
Prerequisites: All the exams of the B.Sc. in Physics.
Target skills and knowledge: Second quantization of the electromagnetic field. Electromagnetic transitions. Interacting many-body quantum systems. Second quantization of the non-relativistic 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. Many-body quantum systems. Identical particles. Bosons and Bose-Einstein condensation. Fermions and Pauli exclusion principle. Veriational principle. Hartree variational method for bosons and the Gross-Pitaevskii equation. Hartree-Fock variational method for fermions. Density functional theory:
theorems of Hoemberg-Kohn, density functional of Thomas-Fermi-Dirac-Von Weizsacker and density functional of Khom-Sham.

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 double-well potential and the two-site Bose-Hubbard 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. Berlin: Springer, 2014. Cerca nel catalogo
  • B.H. Bransden and C.J. Joachain, Physics of Atoms and Molecules. Upper Saddle River: Prentice Hall, 2003. Cerca nel catalogo