https://doi.org/10.1140/epjc/s10052-019-6718-3
Regular Article - Theoretical Physics
A new higher order GUP: one dimensional quantum system
1
Department of Physics and Research Institute of Natural Science, College of Natural Science, Gyeongsang National University, Jinju, 660-701, Korea
2
Faculty of Physics, Shahrood University of Technology, Shahrood, Iran
* e-mail: h.hasanabadi@shahroodut.ac.ir
Received:
10
December
2018
Accepted:
23
February
2019
Published online:
8
March
2019
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.
© The Author(s), 2019
