caa a22 4500 467887853 CHVBK 20180406152739.0 cr unu---uuuuu 170328e20060201xx s 000 0 eng 10.1007/s10714-005-0222-9 doi (NATIONALLICENCE)springer-10.1007/s10714-005-0222-9 Gravitational induced uncertainty and dynamics of harmonic oscillator [Elektronische Daten] [Kourosh Nozari, Tahereh Azizi] As a consequence of gravitational induced uncertainty, equation of motion for harmonic oscillator differs considerably from usual quantum mechanical situation. This paper considers the dynamics of a simple harmonic oscillator in the context of Generalized (Gravitational) Uncertainty Principle (GUP). Using Heisenberg Picture of quantum mechanics, we find time evolution of position and momentum operators and we will show that expectation values have an unusual complicated mass dependence. Also we will show that since the notion of locality breaks down, Ehrenfest theorem is not satisfied for harmonic oscillator in GUP. Springer-Verlag, 2005 Quantum gravity nationallicence Generalized uncertainty principle nationallicence Harmonic oscillator 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 Springer US; http://www.springer-ny.com 38/2(2006-02-01), 325-331 0001-7701 38:2<325 2006 38 10714 https://doi.org/10.1007/s10714-005-0222-9 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10714-005-0222-9 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 Springer US; http://www.springer-ny.com 38/2(2006-02-01), 325-331 0001-7701 38:2<325 2006 38 10714 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer