TY - JOUR
ID - 158
TI - Super algebra and Harmonic Oscillator in Anti de Sitter space
JO - Iranian Journal of Astronomy and Astrophysics
JA - IJAA
LA - en
SN - 2322-4924
AU - Jalili, Omid
AU - Toni, Shahin
AD - Department of Physics, Islamic Azad University-Nour Branch, Nour, Iran
AD - Department of Physics, Isalmic Azad University-Nour Branch, Nour, Iran
Y1 - 2019
PY - 2019
VL - 6
IS - 1
SP - 25
EP - 31
KW - Harmonic Oscillator
KW - Anti de Sitter space
KW - Supersymmetry
KW - Thermal Properties
DO - 10.22128/ijaa.2019.344.1057
N2 - The harmonic oscillator in anti de Sitter space(AdS) is discussed. We consider the harmonic oscillator potential and then time independent Schrodinger equation in AdS space. Then we apply the supersymmetric Quantum Mechanics approach to solve our differential equation. In this paper we have solved Schrodinger equation for harmonic oscillator in AdS spacetime by supersymmetry approach. The shape invariance, charge conjugation and other properties of supersymmetric Quantum Mechanics for our equation are discussed. We investigate the dynamical symmetry into definite group. We also obtain the Casimir operator and thermodynamics properties of harmonic oscillator in Anti de sitter space. We have discussed the corresponding algebra for the N=2 Supersymmetry. The energy spectrum of the harmonic oscillator is similar to the flat space but the constant terms of it are different, This constant terms depends to the geometrical parameter of the background. Finally we have obtained the various thermodynamics quantity of the system.
UR - https://ijaa.du.ac.ir/article_158.html
L1 - https://ijaa.du.ac.ir/article_158_465bf23f88d017cffb70b0efc35f50d7.pdf
ER -