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- W3105562992 abstract "We find exact energy eigenvalues and eigenfunctions of the quantum bouncer in the presence of the minimal length uncertainty and the maximal momentum. This form of Generalized (Gravitational) Uncertainty Principle (GUP) agrees with various theories of quantum gravity and predicts a minimal length uncertainty proportional to $hbarsqrt{beta}$ and a maximal momentum proportional to $1/sqrt{beta}$ , where β is the deformation parameter. We also find the semiclassical energy spectrum and discuss the effects of this GUP on the transition rate of the ultra cold neutrons in gravitational spectrometers. Then, based on Nesvizhevsky’s famous experiment, we obtain an upper bound on the dimensionless GUP parameter." @default.
- W3105562992 created "2020-11-23" @default.
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- W3105562992 date "2013-10-01" @default.
- W3105562992 modified "2023-09-27" @default.
- W3105562992 title "Exact ultra cold neutrons’ energy spectrum in gravitational quantum mechanics" @default.
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- W3105562992 doi "https://doi.org/10.1140/epjc/s10052-013-2609-1" @default.
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