Strongly Continuous Representations in the Hilbert Space: A Far-Reaching Concept

Strongly Continuous Representations in the Hilbert Space: A Far-Reaching Concept

We revisit the fundamental notion of continuity in representation theory, with special attention to the study of quantum physics. After studying the main theorem in the context of representation theory, we draw attention to the significant aspect of continuity in the analytic foundations of Wigner’s...

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Bibliographic Details
Main Authors: Julio Marny Hoff da Silva, Gabriel Marcondes Caires da Rocha
Format: Article
Language:English
Published: MDPI AG 2021-08-01
Series:Universe
Subjects:
ray representation
strongly continuous
continuity
Hilbert space
Online Access:https://www.mdpi.com/2218-1997/7/8/285
Description
Summary:We revisit the fundamental notion of continuity in representation theory, with special attention to the study of quantum physics. After studying the main theorem in the context of representation theory, we draw attention to the significant aspect of continuity in the analytic foundations of Wigner’s work. We conclude the paper by reviewing the connection between continuity, the possibility of defining certain local groups, and their relation to projective representations.
ISSN:2218-1997

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