Gravitational induced uncertainty and dynamics of harmonic oscillator |
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Authors: | Kourosh Nozari Tahereh Azizi |
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Institution: | (1) Department of Physics, Faculty of Basic Sciences, University of Mazandaran, P.O. Box 47416-1467, Babolsar, IRAN;(2) Research Institute for Astronomy and Astrophysics of Maragha, P.O. Box 55134-441, Maragha, IRAN |
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Abstract: | 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. |
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Keywords: | Quantum gravity Generalized uncertainty principle Harmonic oscillator |
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