Fecha
2024-05-15
Editor/a
Director/a
Tutor/a
Coordinador/a
Prologuista
Revisor/a
Ilustrador/a
Derechos de acceso
info:eu-repo/semantics/openAccess
Título de la revista
ISSN de la revista
Título del volumen
Editor
World Scientific
Citas
0 citas en 
0 citas en 
Resumen
We study a class of conformal metric deformations in the quasi-radial coordinate parameterizing the 3-sphere in the conformally compactified Minkowski spacetime S1 ×S3. Prior to reduction of the associated Laplace-Beltrami operators to a Schr¨odinger form, a corresponding class of exactly solvable potentials (each one containing a scalar and a gradient term) is found. In particular, the scalar piece of these potentials can be exactly or quasi-exactly solvable, and among them we find the finite range confining trigonometric potentials of P¨oschl-Teller, Scarf and Rosen-Morse. As an application of the results developed in the paper, the large compactification radius limit of the interaction described by some of these potentials is studied, and this regime is shown to be relevant to a quantum mechanical quark deconfinement mechanism.
Descripción
This is a Submitted Manuscript of an article published by World Scientific in "International Journal of Geometric Methods in Modern Physics VOL. 21, NO. 11, 2024", available at: https://doi.org/10.1142/S0219887824501913
Este es el manuscrito enviado del artículo publicado por World Scientific en "International Journal of Geometric Methods in Modern Physics VOL. 21, NO. 11, 2024", disponible en línea: https://doi.org/10.1142/S0219887824501913
Categorías UNESCO
Palabras clave
Conformal symmetry, exactly and quasi-exactly solvable potentials, quark confinement
Citación
Kirchbach, Mariana; Vallejo Rodríguez, José Antonio; Potentials on the conformally compactified Minkowski spacetime and their application to quark deconfinement, International Journal of Geometric Methods in Modern Physics Vol. 21, Issue No. 11, Article No. 2450191, 2024. https://doi.org/10.1142/S0219887824501913
Centro
Facultades y escuelas::Facultad de Ciencias
Departamento
Matemáticas Fundamentales