KMS states and Tomita-Takesaki Theory
The many mathematical problems modern physical theories have point at the need for a deeper structural understanding of the physical world. One of the most recurring and less understood features of these theories is the relationship between imaginary times and temperature. In this monograph we revie...
- Autores:
-
Burbano Aldana, Iván Mauricio
- Tipo de recurso:
- Trabajo de grado de pregrado
- Fecha de publicación:
- 2018
- Institución:
- Universidad de los Andes
- Repositorio:
- Séneca: repositorio Uniandes
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.uniandes.edu.co:1992/39664
- Acceso en línea:
- http://hdl.handle.net/1992/39664
- Palabra clave:
- Mecánica relativista
Algebras de Von Neumann
Teoría de campos (Física)
Mecánica estadística
Física
- Rights
- openAccess
- License
- http://creativecommons.org/licenses/by-nc-sa/4.0/
| Summary: | The many mathematical problems modern physical theories have point at the need for a deeper structural understanding of the physical world. One of the most recurring and less understood features of these theories is the relationship between imaginary times and temperature. In this monograph we review one of the manifestations of this relationship. We show that under certain conditions, equilibrium states induce canonical dynamics. In order to do this we will explore KMS states and Tomita-Takesaki theory. KMS states will serve as our model for thermodynamical equilibrium in quantum systems. Tomita-Takesaki theory will yield the operators necessary for the construction of the canonical dynamics |
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