First cycle
degree courses
Second cycle
degree courses
Single cycle
degree courses
School of Science
ASTROPHYSICS AND COSMOLOGY
Course unit
THEORETICAL PHYSICS
SCP7081638, A.A. 2019/20

Information concerning the students who enrolled in A.Y. 2019/20

Information on the course unit
Degree course Second cycle degree in
ASTROPHYSICS AND COSMOLOGY
SC2490, Degree course structure A.Y. 2019/20, A.Y. 2019/20
N0
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Degree course track THEORY AND MODELLING [001PD]
Number of ECTS credits allocated 6.0
Type of assessment Mark
Course unit English denomination THEORETICAL PHYSICS
Website of the academic structure http://astrophysicsandcosmology.scienze.unipd.it/2019/laurea_magistrale
Department of reference Department of Physics and Astronomy
Mandatory attendance
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 GIANGUIDO DALL'AGATA FIS/02

ECTS: details
Type Scientific-Disciplinary Sector Credits allocated
Core courses FIS/02 Theoretical Physics, Mathematical Models and Methods 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
Lecture 6.0 48 102.0 No turn

Calendar
Start of activities 02/03/2020
End of activities 12/06/2020
Show course schedule 2019/20 Reg.2019 course timetable

Syllabus
Prerequisites: Classical Mechanics. Quantum Mechanics.
Target skills and knowledge: The course offers a first introduction to the quantization of field theories, explaining the basic tools and formalism of quantum field theories and giving some physical applications to elementary scattering processes.
Examination methods: Written. Solution of one or more problems.
Assessment criteria: Knowledge and understanding of the course topics. Ability of solving elementary problems related to the course topics.
Course unit contents: 1. Classical and quantum mechanics of particles.
Lagrangian, action, principle of least action, Hamiltonian, Poisson brackets, Quantization, Symmetries in Quantum Mechanics, Schroedinger, Heisenberg and interaction picture.

2. Classical field theory.
Functional derivative. Principle of least action for fields, Hamiltonian, Hamilton equations.

3. Symmetries and conservation laws.
Noether's theorem, Spacetime symmetries and conserved quantities, internal symmetries and conserved charges.

4. Scalar field.
Classical real scalar field. Klein-Gordon equation and solution. Canonical quantization. Normal ordering. Fock space. Microcausality.
Classical and quantum complex scalar field. Internal symmetry and conserved charge. The scalar propagator.

5. Spinors.
Lorentz group and its representations. Spinor fields. Lagrangian for a Dirac spinor field. General solution of the Dirac equation. Energy and helicity projectors. Canonical quantization for the Dirac field (and anticommutators). Fermion propagator. Minimal coupling and covariant derivative. Non-relativistic limit, gyromagnetic factor.

6. Vector fields.
Classical vector field. Proca equation. Classical electromagnetic field theory. Gauge invariance. Lorentz gauge. Gauge fixing. Lagrangian and Hamiltonian densities in the Feynman gauge. General solution. Covariant quantization. Fock space and indefinite metric. Unphysical polarizations. Gupta-Bleuler condition. Propagator.

7. Interactions.
Interactions in a classical field theory. The S-matrix expansion and transition probability. T-products.

8. QED.
S-matrix expansion in QED. Feynman diagrams in coordinate space and in momentum space. 2->2 scattering processes. Photon and electron self-energies. The Compton scattering. QED Feynman rules. The cross-section.
Planned learning activities and teaching methods: Blackboard lectures.
Textbooks (and optional supplementary readings)
  • Mandl, Franz; Shaw, Graham, Quantum field theoryFranz Mandl, Graham Shaw. Hoboken: John Wiley, 2010. Cerca nel catalogo

Innovative teaching methods: Teaching and learning strategies
  • Lecturing
  • Problem based learning
  • Problem solving