Volume 123, Number 3, August 2018
|Number of page(s)||7|
|Published online||05 September 2018|
Schwinger's model of angular momentum with GUP
1 Department of Physics, Indian Institute of Technology (Banaras Hindu University) - Varanasi, India
2 Department of Physics, Institute of Science, BHU - Varanasi, India
Received: 26 April 2018
Accepted: 27 July 2018
We study the generalized uncertainty principle (GUP) modified simple harmonic oscillator (SHO) in the operator formalism by considering the appropriate form of the creation and annihilation operators . The angular-momentum algebra is then constructed using Schwinger's model of angular momentum with two independent GUP modified SHOs. With the GUP modified angular-momentum algebra, we discuss coupling of angular momentum for a two-particle composite system. Further, we calculate the Clebsch-Gordan (CG) coefficients for a two-particle system explicitly. Our results show that the CG coefficients do not receive any corrections up to quadratic GUP.
PACS: 04.60.-m – Quantum gravity / 04.60.Bc – Phenomenology of quantum gravity / 03.65.-w – Quantum mechanics
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