Course

MATH-495: Mathematical quantum mechanics

Summary

Quantum mechanics is one of the most successful physical theories. This course presents the mathematical formalism (functional analysis and spectral theory) that underlies quantum mechanics. It is simultaneously an introduction to mathematical physics and an advanced course in operator theory

Lectures

Instructors

Official source

https://edu.epfl.ch/coursebook/en/mathematical-quantum-mechanics-MATH-495

Moodle Page

http://go.epfl.ch/MATH-495

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Summary

Lectures

Instructors

Official source

https://edu.epfl.ch/coursebook/en/mathematical-quantum-mechanics-MATH-495

Moodle Page

http://go.epfl.ch/MATH-495

About this result

Lectures in this course (30)

Function Spaces: Review and Compact Operators

Covers the review of function spaces and explores the concept of compact operators.

Quantum States and Operators

Covers the description of states in quantum mechanics and their relation to probability, expectation values, and the Schrödinger equation.

Orthonormal Sequences and Hilbert Spaces

Explores orthonormal sequences, Bessel's inequality, and unique decompositions in Hilbert spaces.

Quantum Mechanics: Mathematical Framework

Introduces the need for a mathematical framework to describe linear operators on infinite-dimensional Hilbert spaces in quantum mechanics.

Translation Groups on [0,1]

Covers the study of translation groups on the interval [0,1] with different phases and the Riesz representation theorem on Hilbert space.

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