Lecture

Domain and Graph of Unbounded Operators

Description

This lecture covers the fundamental concepts of unbounded operators in quantum physics, focusing on defining a functional calculus and spectral decomposition for operators like position, momentum, and Hamiltonian. It explains the notion of closed operators, graph theory, operator extensions, and the subtleties of manipulating unbounded operators, with examples illustrating the mathematical challenges in quantum mechanics.

Official source

https://mediaspace.epfl.ch/media/0_hj55eatt

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Ontological neighbourhood

Mathematics

Discrete mathematics: Graph theory

Analysis: Functional analysis

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