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Applied Physics B

An exact algebraic solution of two harmonic modes coupled through the angular momentum

Swapan Mandal, Kartick Chandra Saha, Dolan Krishna Bayen, N. Canosa, R. Rossignoli

Published Apr 23, 2023• 3 citations
Publisher
DOI
10.1007/s00340-023-08014-x

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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.