Authors: Pouria Pedram
Publish Date: 2012/01/08
Volume: 51, Issue: 6, Pages: 1901-1910
Abstract
We present the energy eigenvalues of a quantum bouncer in the framework of the Generalized Gravitational Uncertainty Principle GUP via quantum mechanical and semiclassical schemes In this paper we use two equivalent nonperturbative representations of a deformed commutation relation in the form XP=iħ1+βP 2 where β is the GUP parameter The new representation is formally selfadjoint and preserves the ordinary nature of the position operator We show that both representations result in the same modified semiclassical energy spectrum and agrees well with the quantum mechanical description
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