 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 information (prerequisite, evaluation (assessment methods), course materials recommended readings, ...)
Prerequisites: candidature level in algebra, analyse and general physics.
Evaluation: written and oral examination.
Support: syllabus.
Openings: Teaching of quantum mechanics (PHYS 2290, PHYS 2300, PHYS 2310); Advanced formation on functional analyse and quantum theory (fields theory).
Other credits in programs
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MATH21/G
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Première licence en sciences mathématiques (Général)
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(3.5 credits)
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PHYS21/A
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Première licence en sciences physiques (Physique appliquée)
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(3.5 credits)
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Mandatory
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PHYS21/G
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Première licence en sciences physiques
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(3.5 credits)
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Mandatory
|
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PHYS21/T
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Première licence en sciences physiques (Physique de la terre, de l'espace et du climat)
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(3.5 credits)
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Mandatory
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