MATHEMATICAL PHYSICS

Second cycle degree in PHYSICS

Campus: PADOVA

Language: English

Teaching period: Second Semester

Lecturer: ANTONIO PONNO

Number of ECTS credits allocated: 6


Syllabus
Prerequisites: Knowledge of basic Hamiltonian mechanics (Hamiltonian formalism,
canonical transformations, integrability).
Examination methods: Written examination on the topics treated in the course.
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.