Asymptotically equivalent functions and ultrafilters applied to noncommutative quantum cosmology



Document title: Asymptotically equivalent functions and ultrafilters applied to noncommutative quantum cosmology
Journal: Revista mexicana de física
Database: PERIÓDICA
System number: 000438886
ISSN: 0035-001X
Authors: 1
1
2
Institutions: 1Universidad de Guadalajara, Centro Universitario de la Ciénega, Ocotlán, Jalisco. México
2Universidad Autónoma de Zacatecas, Unidad Académica de Física, Zacatecas. México
Year:
Season: Sep-Oct
Volumen: 65
Number: 5
Country: México
Language: Inglés
Document type: Artículo
Approach: Analítico, teórico
English abstract Using the semi-classical approximation to the Wheeler-DeWitt equation obtained via Arnowitt-Deser-Misner (ADM) formalism in the Friedmann-Lemaȋtre-Robertson-Walker (FLRW) model coupled to a scalar field with positive cosmological constant in the Kantowski-Sachs (KS) Universe, we introduced a deformation on the commutation relation for the minisuperspace variables and find an explicit semiclassical expression equivalent, in an adequate limit, to the solution with the aid of asymptotically equal functions and the theory of Ultrafilters, offering a suggestive alternative to sketch the behavior of the dynamical system involved without the need to solve it numerically
Disciplines: Física y astronomía
Keyword: Física,
Cosmología cuántica,
Métodos matemáticos,
Funciones asintóticamente equivalentes,
Ultrafiltros
Keyword: Physics,
Mathematical methods,
Asymptotically equivalent functions,
Ultrafilters,
Quantum cosmology
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