Lecture

Spectral Theory: Friedrichs Extension Theorem

In course

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Description

This lecture covers the proof of Friedrichs extension theorem, the definition of point, continuous, and residual spectrum, the properties of the spectrum and resolvent map, and the application of Neumann series in the context of position and momentum operators.

Official source

https://mediaspace.epfl.ch/media/0_rlk64a67

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Ontological neighbourhood

Mathematics

Analysis: Functional analysis

Physics

Quantum mechanics: Mathematical formulation of quantum mechanics

Logic

Classical logic: First-order logic

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