https://doi.org/10.1140/epjp/s13360-023-03728-5
Regular Article
A nonrelativistic study of a non-local form of generalized uncertainty principle
1
Department of Physics, University of Guilan, Rasht, Iran
2
Department of Basic Sciences, Garmsar Branch, Islamic Azad University, Garmsar, Iran
Received:
4
August
2022
Accepted:
16
January
2023
Published online:
6
February
2023
We consider the modification of the linear momentum based on the non-locality in generalized uncertainty principle approach. We calculate the deformed commutation relation between position and momentum. Then, we show how this generalization of the commutation relation affects the behavior of the related nonrelativistic system in an exact analytical manner. The extreme values of energy and wave length in terms of Planck scale are calculated and a comparison with present results is made.
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