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Spectral Theory (MATH0071)

Key information

Faculty
Faculty of Mathematical and Physical Sciences
Teaching department
Mathematics
Credit value
15
Restrictions
This module is normally taken by fourth year students on single or combined honours mathematics degrees, who have taken MATH0018 Functional Analysis and MATH0019 Multivariable Analysis and ideally also MATH0017 Measure Theory.
Timetable

Alternative credit options

There are no alternative credit options available for this module.

Description

Spectral theory came to prominence when quantum mechanics was introduced in modern physics. In quantum mechanics classical quantities (position, momentum etc) are represented by operators (bounded, unbounded, self-adjoint etc). The eigenvalues of these operators are the only precise measurements of the quantity. Without requiring knowledge of physics, this course introduces the fundamentals of such operators and the space of their eigenvalues, which is called the spectrum.

Module deliveries for 2024/25 academic year

Intended teaching term: Term 1 ÌýÌýÌý Undergraduate (FHEQ Level 7)

Teaching and assessment

Mode of study
In person
Methods of assessment
90% Exam
10% Coursework
Mark scheme
Numeric Marks

Other information

Number of students on module in previous year
7
Module leader
Professor Leonid Parnovski
Who to contact for more information
math.ugteaching@ucl.ac.uk

Last updated

This module description was last updated on 8th April 2024.

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