A nonrelativistic study of a non-local form of generalized uncertainty principle
Department of Physics, University of Guilan, Rasht, Iran
2 Department of Basic Sciences, Garmsar Branch, Islamic Azad University, Garmsar, Iran
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.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.