
Course unit
MATHEMATICAL PHYSICS
SCP7080817, A.A. 2017/18
Information concerning the students who enrolled in A.Y. 2017/18
ECTS: details
Type 
ScientificDisciplinary 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 
Start of activities 
26/02/2018 
End of activities 
01/06/2018 
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).
LiePoisson systems and their connection with Lie groups and
their relative algebras.
Lagrangian and Hamiltonian formalism
for infinitedimensional 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 Lecturenotes usually cover most part of the topics treated. 
Textbooks (and optional supplementary readings) 


