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The generalized uncertainty principle from the doubly special relativity: Algebraic approach, Ramsauer effect and delta potential
- Authors
- Chung, Won Sang; Hassanabadi, Hassan; Kang, Min Su; Sung, Hee Hun; Maeng, Jinyeob; Lee, Seunghyun; Moon, Young Il
- Issue Date
- 14-Mar-2019
- Publisher
- World Scientific Publishing Co
- Keywords
- Generalized uncertainty principle; doubly special relativity; Ramsauer-Townsend effect; deformed Fourier transform
- Citation
- Modern Physics Letters A, v.34, no.7-8
- Indexed
- SCI
SCIE
SCOPUS
- Journal Title
- Modern Physics Letters A
- Volume
- 34
- Number
- 7-8
- ISSN
- 0217-7323
1793-6632
- Abstract
- 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 x-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.
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