 Aims
The course is centered on the study of the essential tool of quantum mechanics, the Hilbert space. The abstract notions are brought progressively, starting from concrete cases ("special" functions; Fourier series) and are illustrated by applications taken from theoretical physics (in particular quantum mechanics).
Main themes
- Fourier series
- Special functions: orthogonal polynomials (Legendre, Laguerre, Hermite), Bessel functions
- Hilbert space
- Operators in Hilbert space, spectral theory, special types of operators
- Introduction to the theory of distributions
Other credits in programs
|
MATH21/G
|
Première licence en sciences mathématiques (Général)
|
(4 credits)
| |
|
MATR23
|
Troisième année du programme conduisant au grade d'ingénieur civil en science des matériaux
|
(3.5 credits)
| |
|
PHYS21/A
|
Première licence en sciences physiques (Physique appliquée)
|
(3.5 credits)
|
Mandatory
|
|
PHYS21/G
|
Première licence en sciences physiques
|
(3.5 credits)
|
Mandatory
|
|
PHYS21/T
|
Première licence en sciences physiques (Physique de la terre, de l'espace et du climat)
|
(3.5 credits)
|
Mandatory
|
|
