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The New Type of Extended Uncertainty Principle and Some Applications in Deformed Quantum Mechanics
- Authors
- Chung, Won Sang
- Issue Date
- Aug-2019
- Publisher
- Springer
- Keywords
- Extended uncertainty principle; Minimal momentum
- Citation
- International Journal of Theoretical Physics, v.58, no.8, pp 2575 - 2591
- Pages
- 17
- Indexed
- SCIE
SCOPUS
- Journal Title
- International Journal of Theoretical Physics
- Volume
- 58
- Number
- 8
- Start Page
- 2575
- End Page
- 2591
- ISSN
- 0020-7748
1572-9575
- Abstract
- In this paper we present a new type of extended uncertainty principle (EUP) of the form [X, P] = i(1 - q|X|) and show that it has the non-zero minimal momentum. For this EUP we discuss the classical mechanics in the curved space, deformed calculus, deformed quantum mechanics and Bohr-Sommerfeld quantization.
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