Teaching - Università Roma Tre

FM410 - MATHEMATICAL PHYSICS 3 (objectives)

Code

20402103

Language

ITA

Type of certificate

Profit certificate

Credits

7

Scientific Disciplinary Sector Code

MAT/07

Contact Hours

60

Type of Activity

Related or supplementary learning activities

Derived from	20402103 FM410 - MATHEMATICAL PHYSICS 3 in Mathematics LM-40 N0 GENTILE GUIDO (syllabus) LAGRANGIAN AND HAMILTONIAN MECHANICS. VARIATIONAL PRINCIPLES. CONSTRAINTS. CYCLICI VARIABLES. CONSTANTS OF MOTION AND SYMMETRIES. HAMILTONIAN FLOWS. LIOUVILLE THEOREM AND POINCARE RECURRENCE THEOREM. CANONICAL TRANSFORMATIONS. GENERATING FUNCTIONS. HAMILTON-JACOBI METHOD AND ACTION-ANGLE VARIABLES. PERTURBATION THEORY. KAM THEOREM. (reference books) [1] G. GENTILE,INTRODUZIONE AI SISTEMI DINAMICI. 1.EQUAZIONI DIFFERENZIALI ORDINARIE, ANALISI QUALITATIVA E ALCUNE APPLICAZIONI. AVAILABLE ON-LINE: http://www.mat.uniroma3.it/users/gentile/2016-2017/FM410/testo.html [2] G. GENTILE,INTRODUZIONE AI SISTEMI DINAMICI. 2.FORMALISMO LAGRANGIANO E HAMILTONIANO. AVAILABLE ON-LINE: http://www.mat.uniroma3.it/users/gentile/2016-2017/FM410/testo.html [3] G. DELL'ANTONIO, ELEMENTI DI MECCANICA. LIGUORI EDITORE, (1996) [4] V.I. ARNOLD, METODI MATEMATICI DELLA MECCANICA CLASSICA. EDITORI RIUNITI, (1979) [5] G. GALLAVOTTI, MECCANICA ELEMENTARE. BOLLATI-BORINGHIERI, (1980)
Dates of beginning and end of teaching activities	From to
Delivery mode	Traditional
Attendance	not mandatory
Evaluation methods	Oral exam