Linear Algebra Concepts: Motivation for Studying Eigenmodes in Physical Systems

In course

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Description

This lecture introduces the motivation for studying linear algebra concepts in the context of eigenmodes of vibration in physical systems such as violin strings, waveguides, plasma, and the hydrogen atom. It explains how linear algebra plays a central role in quantum mechanics by representing states as vectors in a Hilbert space and describing measurable quantities with self-adjoint operators.

Instructors (2)

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Official source

https://mediaspace.epfl.ch/media/0_u9t292j3

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Ontological neighbourhood

Mathematics

Analysis: Functional analysis

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