First cycle
degree courses
Second cycle
degree courses
Single cycle
degree courses
School of Science
PHYSICS
Course unit
MATHEMATICAL PHYSICS
SCP7080817, A.A. 2017/18

Information concerning the students who enrolled in A.Y. 2017/18

Information on the course unit
Degree course Second cycle degree in
PHYSICS
SC2382, Degree course structure A.Y. 2017/18, A.Y. 2017/18
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 MATHEMATICAL PHYSICS
Website of the academic structure http://fisica.scienze.unipd.it/2017/laurea_magistrale
Department of reference Department of Physics and Astronomy
Mandatory attendance No
Language of instruction English
Branch PADOVA

Lecturers
Teacher in charge ANTONIO PONNO MAT/07

Mutuated
Course unit code Course unit name Teacher in charge Degree course code
SCL1000251 HAMILTONIAN MECHANICS ANTONIO PONNO SC1172

ECTS: details
Type Scientific-Disciplinary Sector Credits allocated
Educational activities in elective or integrative disciplines MAT/07 Mathematical Physics 6.0

Mode of delivery (when and how)
Period Second semester
Year 1st Year
Teaching method frontal

Organisation of didactics
Type of hours Credits Hours of
teaching
Hours of
Individual study
Shifts
Lecture 6.0 48 102.0 No turn

Calendar
Start of activities 26/02/2018
End of activities 01/06/2018

Syllabus
Prerequisites: Knowledge of basic Hamiltonian mechanics (Hamiltonian formalism,
canonical transformations, integrability).
Target skills and knowledge: The student, after passing his/her exam, should be able to read and understand some original papers on the topics treated in the course.
Examination methods: Written examination on the topics treated in the course.
Assessment criteria: The student will be evaluated by checking his/her
understanding of the "abstract" topics and his/her consequent
ability in solving possible exercises.
Course unit contents: General properties. Poisson structures and extension of
the canonical formalism. Elements of Hamiltonian perturbation theory: averaging principle (classical and quantum version).
Lie-Poisson systems and their connection with Lie groups and
their relative algebras.
Lagrangian and Hamiltonian formalism
for infinite-dimensional systems. Linear and nonlinear partial
differential equations of physical interest.
Hamiltonian structure of quantum mechanics.
Planned learning activities and teaching methods: Lectures are given at the blackboard.
Additional notes about suggested reading: The Lecture-notes usually cover most part of the topics treated.
Textbooks (and optional supplementary readings)