2024 : 11 : 21

Jafar Sadeghi

Academic rank: Professor
ORCID:
Education: PhD.
ScopusId:
HIndex: 0/00
Faculty: Science
Address:
Phone: 9111125092

Research

Title
Factorization method in scalar field on <i>AdS</i>3 in spherical coordinates
Type
JournalPaper
Keywords
Geodesy, Conformal differential geometry, Partial differential equations, Riemann surfaces, Particle scattering, Particle symmetry, Anti-de Sitter/conformal field theory correspondence, Scalar field theory, Schrodinger equations
Year
2012
Journal Journal of Mathematical Physics
DOI
Researchers Jafar Sadeghi ، Mohammad Rostami

Abstract

In this paper, we reformulate free scalar field on AdS3 with spherical coordinates. The suitable coordinates lead us to obtain the action for the massless free particle. This action admits to apply the variable separation and obtains the corresponding second order equation. So, we factorize this equation with respect to n and m and obtain the wave function and energy spectrum. In order to have the shape invariance condition, we show that the corresponding Hamiltonian must be factorized just in terms of m. This leads us to study the partner potential and super potential. Finally, we discuss the commutation relation between supercharge and corresponding Hamiltonian, which shows that the first order operators will be a form of generators algebra