caa a22 4500 467887756 CHVBK 20180406152739.0 cr unu---uuuuu 170328e20060501xx s 000 0 eng 10.1007/s10714-006-0262-9 doi (NATIONALLICENCE)springer-10.1007/s10714-006-0262-9 Some aspects of gravitational quantum mechanics [Elektronische Daten] [Kourosh Nozari, Tahereh Azizi] String theory, quantum geometry, loop quantum gravity and black hole physics all indicate the existence of a minimal observable length on the order of Planck length. This feature leads to a modification of Heisenberg uncertainty principle. Such a modified Heisenberg uncertainty principle is referred as gravitational uncertainty principle(GUP) in literatures. This proposal has some novel implications on various domains of theoretical physics. Here, we study some consequences of GUP in the spirit of Quantum mechanics. We consider two problem: a particle in an one-dimensional box and free particle wave function. In each case we will solve corresponding perturbational equations and compare the results with ordinary solutions. Springer Science and Business Media Inc., New York, 2006 Quantum gravity nationallicence Generalized uncertainty principle nationallicence Generalized Schrödinger equation nationallicence Momentum space wave function nationallicence Nozari Kourosh Department of Physics, Faculty of Basic Sciences, University of Mazandaran, P.O.Box 47416-1467, Babolsar, Iran aut Azizi Tahereh Department of Physics, Faculty of Basic Sciences, University of Mazandaran, P.O.Box 47416-1467, Babolsar, Iran aut General Relativity and Gravitation Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 38/5(2006-05-01), 735-742 0001-7701 38:5<735 2006 38 10714 https://doi.org/10.1007/s10714-006-0262-9 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10714-006-0262-9 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Nozari Kourosh Department of Physics, Faculty of Basic Sciences, University of Mazandaran, P.O.Box 47416-1467, Babolsar, Iran aut NATIONALLICENCE 700 1- Azizi Tahereh Department of Physics, Faculty of Basic Sciences, University of Mazandaran, P.O.Box 47416-1467, Babolsar, Iran aut NATIONALLICENCE 773 0- General Relativity and Gravitation Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 38/5(2006-05-01), 735-742 0001-7701 38:5<735 2006 38 10714 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer