Mathematical Methods in Physics
A.Y. 2018/2019
Learning objectives
Il corso ha carattere introduttivo e mira a fornire conoscenze
di base di metodo e rigore matematico, tecniche utili e
qualche applicazione negli ambiti: Analisi complessa, Spazi
di Hilbert e Operatori Lineari, Serie e Integrali di Fourier e
Laplace, Distribuzioni.
di base di metodo e rigore matematico, tecniche utili e
qualche applicazione negli ambiti: Analisi complessa, Spazi
di Hilbert e Operatori Lineari, Serie e Integrali di Fourier e
Laplace, Distribuzioni.
Expected learning outcomes
Undefined
Lesson period: Second semester
Assessment methods: Esame
Assessment result: voto verbalizzato in trentesimi
Single course
This course cannot be attended as a single course. Please check our list of single courses to find the ones available for enrolment.
Course syllabus and organization
CORSO A
Responsible
Lesson period
Second semester
Course syllabus
Complex functions: holomorphic functions, complex
integration, index function, Cauchy theorems, power series
and Laurent series, Residue theorem. Conformal maps.
Hilbert spaces, orthonormal basis, elements of theory of
bounded and unbounded linear operators.
Fourier series (point and norm convergence)
Space S of rapid decreasing functions, and space S' of
tempered distributions.
Fourier transfor in S,S',L_1, L_2. Inversion and convolution.
Laplace transform.
integration, index function, Cauchy theorems, power series
and Laurent series, Residue theorem. Conformal maps.
Hilbert spaces, orthonormal basis, elements of theory of
bounded and unbounded linear operators.
Fourier series (point and norm convergence)
Space S of rapid decreasing functions, and space S' of
tempered distributions.
Fourier transfor in S,S',L_1, L_2. Inversion and convolution.
Laplace transform.
FIS/02 - THEORETICAL PHYSICS, MATHEMATICAL MODELS AND METHODS - University credits: 7
Practicals: 20 hours
Lessons: 40 hours
Lessons: 40 hours
Professors:
Fratesi Guido, Molinari Luca Guido
CORSO B
Lesson period
Second semester
FIS/02 - THEORETICAL PHYSICS, MATHEMATICAL MODELS AND METHODS - University credits: 7
Practicals: 20 hours
Lessons: 40 hours
Lessons: 40 hours
Professor:
Raciti Mario
CORSO C
Responsible
Lesson period
Second semester
FIS/02 - THEORETICAL PHYSICS, MATHEMATICAL MODELS AND METHODS - University credits: 7
Practicals: 20 hours
Lessons: 40 hours
Lessons: 40 hours
Professor:
Zaccone Alessio
Professor(s)