Wigner’s Classification Theorem and Construction of Fields in Quantum Theory
The purpose of this thesis is to give a self-contained introduction to the mathematical underpinnings of Lie groups, their representations, and apply the machinery to understand Wigner's classification of quantum fields. The presentation is well-suited for two kinds of readers. On the one hand,...
- Autores:
-
Salcedo Hernández, Juan David
- Tipo de recurso:
- Trabajo de grado de pregrado
- Fecha de publicación:
- 2025
- Institución:
- Universidad de Antioquia
- Repositorio:
- Repositorio UdeA
- Idioma:
- eng
- OAI Identifier:
- oai:bibliotecadigital.udea.edu.co:10495/47884
- Acceso en línea:
- https://hdl.handle.net/10495/47884
- Palabra clave:
- Grupos de Lie
Lie groups
Álgebras de Lie
Lie algebras
Teoría de los haces
Sheaves, Theory of
Cálculo diferencial
Differential calculus
Teoría cuántica
Quantum theory
Simetría
symmetry
Fibre bundles
Tangent spaces
Projective Hilbert spaces
Unitary representations
Wigner’s classification
Quantum fields
Covering spaces
Morphisms of manifolds
Implicit function theorem
Submanifolds
- Rights
- openAccess
- License
- http://creativecommons.org/licenses/by-nc-sa/4.0/