The generalized uncertainty principle from the doubly special relativity: Algebraic approach, Ramsauer effect and delta potential
Won Sang Chung, HASSAN HASSANABADI, Min Su Kang +4 more
In this paper, we consider the DSR-GUP which was first proposed by two of us [W. S. Chung and H. Hassanabadi, Phys. Lett. B 785, 127 (2018)]. Here, we introduce the deformed derivative corresponding to DSR-GUP to discuss the quantum mechanics based on DSR-GUP in an algebraical way. We use the deformed Fourier transform and its inverse transform to discuss the plane wave in [Formula: see text]-space and Gaussian packet. We also extend our discussion to the (1 + 1)-dimensional case. As examples, we discuss the Ramsauer–Townsend effect and delta potential.
Modern Physics Letters A•Mar 1, 2019•12 citations