Title
Comment on “Comment on Linear confinement of a scalar particle in a Gödel-type space-time”
Date Issued
01 January 2020
Access level
open access
Resource Type
editorial
Author(s)
Universidade Federal do Maranhão
Publisher(s)
Springer
Abstract
We show that from an appropriate manipulation of the biconfluent Heun differential equation one can obtain the correct expression for the energy eigenvalues for the Klein–Gordon equation without potential in the background of Som–Raychaudhuri space-time with a cosmic string as a particular case (kL= 0 ) of Vitória et al. (Eur Phys J C 78(1):44, 2018), in opposition what was stated in a recent paper published in this journal (Ahmed in Eur Phys J C 79(8):682, 2019). In a recent paper in this journal, Ahmed [1] has pointed
out an incorrect expression in [2]. The author has solved the Klein–Gordon equation without interaction in the Som–Raychaudhuri space-time with the cosmic string using the Nikiforov–Uvarov method and obtained the energy eigenvalues and the corresponding eigenfunctions of the system. The problem solved in [1] is a special case associated to kL = 0 in Ref. [2]. Ahmed has claimed that to obtain the correct result, one should start from Eq. (4) but not from the condition (12), which is obtained from the biconfluent Heun equation (10). The purpose of this comment is to show that following an appropriate manipulation of the biconfluent Heun equation,
the correct energy eigenvalues for kL = 0 can be obtained as a particular case of [2], as opposed to what was advertised in
Ref. [1].
Volume
80
Issue
1
Number
53
Language
English
OCDE Knowledge area
Física de partículas, Campos de la Física
Scopus EID
2-s2.0-85078112489
Source
European Physical Journal C
ISSN of the container
14346044
Sponsor(s)
This work was supported in part by means of funds provided by CNPq, Brazil, Grant No. 307932/2017-6 (PQ) and No. 422755/2018-4 (UNIVERSAL), São Paulo Research Foundation (FAPESP), Grant No. 2018/20577-4, FAPEMA, Brazil, Grant No. UNIVERSAL-01220/18 and CAPES, Brazil.
Coordenação de Aperfeiçoamento de Pessoal de Nível Superior
Sources of information:
Directorio de Producción Científica
Scopus