Academic year2016/17
CoursePHYSICS
Code037BB
Credits6
PeriodSemester 2
LanguageItalian
| Modules | Area | Type | Hours | Teacher(s) |
| METODI MATEMATICI 1 | FIS/02 | LEZIONI | 48 | |
Programma non disponibile nella lingua selezionata
Knowledge
The main purpose of the course is to give the student enough mathematical tools to facilitate the study of quantum mechanics (the following year). He/she who successfully completes the course will have knowledge of the basic mathematical notions that are used to formulate quantum mechanics, and will be albe to solve problems concerning Hilbert spaces, partial-differential equations, linear transformations of Hilbert spaces, Fourier series and Fourier transforms.
Assessment criteria of knowledge
The student will be judged on his ability to solve problems that are similar to the examples presented in the lectures, but not quite the same, and require some maturity and the familiarization with the theoretical concepts explained in the course. Both written and oral examinations consist in the solutions of this kind of problems. During the oral examination the student may be helped from time to time to avoid getting stuck on minor points and see whether he/she can remove the obstacles found along the way.
Methods:
- Final oral exam
- Final written exam
Further information:
The written exam gives the student a way to understand his/her level of preparation. Its grade is the basic grade of the whole exam. A good oral exam may raise the final grade, but a not-so good oral exam may also lower it. During the course two intermediate written examinations are offered. Those who pass them may take the oral exam right away.
Teaching methods
Delivery: face to face
Learning activities:
- attending lectures
- individual study
Attendance: Advised
Teaching methods:
Syllabus
Infinite dimensional vector spaces. Fourier series. Partial-derivative differential equations. Spaces L(I), complete systems, separable spaces. Hilbert spaces.
Linear transformations between Hilbert spaces. Adjoint, unitary, closed and compact operators. Linealrfunctionals. Fourier transforms in L1 and L2, and their applications to physics.
Bibliography
Recommended reading includes the following works:
G. Cicogna, Metodi Matematici della Fisica, Springer
L. Bracci, Metodi Matematici per la Fisica I, Appunti del Corso.
Further bibliography will be indicated when necessary.
Updated: 14/11/2016 17:27
