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 A, A † . 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 upto quadratic GUP. p-7

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Introduction. -Through this document, we wish to respond to the comments [1] made on our manuscript entitled "Schwinger's model of angular momentum with GUP". First of all, the authors have wrongly presumed that we have invalidated/questioned their results in [2]. In the abstract section, they claim that their work is valid, on which, we made no claims suggesting the contrary in the paper [3]. In fact we have used some of their results in our work. The only issue which we found was that the Clebsch-Gordan (CG) coefficients for the same state, obtained in their work by applying J − and J + operators were different. This is clearly unacceptable. This situation can be better described with the word "inconsistency" rather than with the word, "ambiguous". We feel that there was, in fact, no ambiguity in the mathematical calculations of CG coefficients using the operators J − and J + in their works. In our work we have removed this inconsistency. Now, we shall try to address the specific points raised by the authors.