First cycle
degree courses
Second cycle
degree courses
Single cycle
degree courses
School of Science
PHYSICS
Course unit
STRUCTURE OF MATTER
SCP7081438, A.A. 2018/19

Information concerning the students who enrolled in A.Y. 2018/19

Information on the course unit
Degree course Second cycle degree in
PHYSICS
SC2382, Degree course structure A.Y. 2017/18, A.Y. 2018/19
N0
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Degree course track PHYSICS OF MATTER [002PD]
Number of ECTS credits allocated 6.0
Type of assessment Mark
Course unit English denomination STRUCTURE OF MATTER
Website of the academic structure http://physics.scienze.unipd.it/2018/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
SCP7081438 STRUCTURE OF MATTER LUCA SALASNICH SC2443

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 25/02/2019
End of activities 14/06/2019

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)
1 STRUCTURE OF MATTER 01/10/2017 30/11/2018 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. Relativistic wave equations and the spin of the electron. 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. The Spin of the Electron. Klein-Gordon and Dirac equations. The Pauli equation and the spin. Dirac equation with a central potential. Relativistic hydrogen atom and fine splitting.

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 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. Photons, Atoms and Strongly-Correlated Systems.. Berlin: Springer, 2016. Cerca nel catalogo
  • B.H. Bransden and C.J. Joachain, Physics of Atoms and Molecules. Upper Saddle River: Prentice Hall, 2003. Cerca nel catalogo