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A new higher order GUP: one dimensional quantum systemopen access
- Authors
- Chung, Won Sang; Hassanabadi, Hassan
- Issue Date
- 8-Mar-2019
- Publisher
- SPRINGER
- Citation
- EUROPEAN PHYSICAL JOURNAL C, v.79, no.3
- Indexed
- SCI
SCIE
SCOPUS
- Journal Title
- EUROPEAN PHYSICAL JOURNAL C
- Volume
- 79
- Number
- 3
- ISSN
- 1434-6044
1434-6052
- Abstract
- In this paper we present a new higher order generalized (gravitational) uncertainty principle (GUP*) which has the maximal momentum as well as the minimal length. We discuss the position representation and momentum representation. We also discuss the position eigenfunction and maximal localization states. As examples we discuss one dimensional box problem and harmonic oscillator problem.
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