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The generalized uncertainty principle from the doubly special relativity: Algebraic approach, Ramsauer effect and delta potential
- Chung, Won Sang;
- Hassanabadi, Hassan;
- Kang, Min Su;
- Sung, Hee Hun;
- Maeng, Jinyeob;
- 외 2명
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12초록
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.
키워드
Generalized uncertainty principle; doubly special relativity; Ramsauer-Townsend effect; deformed Fourier transform; SPACE
- 제목
- The generalized uncertainty principle from the doubly special relativity: Algebraic approach, Ramsauer effect and delta potential
- 저자
- Chung, Won Sang; Hassanabadi, Hassan; Kang, Min Su; Sung, Hee Hun; Maeng, Jinyeob; Lee, Seunghyun; Moon, Young Il
- 발행일
- 2019-03-14
- 유형
- Article
- 권
- 34
- 호
- 7-8
- 언어
- ENG
- 출판사
- World Scientific Publishing Co
- 발행국가
- 싱가포르
- ISSN
- E 1793-6632
P 0217-7323