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Abstract: We question the emergence of a minimal length in quantum spacetime, confronting two notions that appeared at various points in the literature: length as the spectrum of an operator L in the ...
The quantum N-body problem with a minimal length     The quantum N-body problem  minimal length       font style='font-size:12px;'> 2010/12/23
The quantum $N$-body problem is studied in the context of nonrelativistic quantum mechanics with a one-dimensional deformed Heisenberg algebra of the form $[\hat x,\hat p]=i(1+\beta \hat p^2)$, leadin...
Neutrino oscillations trigger a minimal length     Neutrino oscillations  minimal length       font style='font-size:12px;'> 2010/12/27
In this paper, we investigate the effect of the presence of a quantum gravity induced minimal length in neutrino oscillation probabilities. Neutrinos can propagate freely over large distances without...
Minimal Length and Bouncing Particle Spectrum     Minimal Length  Bouncing Particle Spectrum       font style='font-size:12px;'> 2010/12/24
In this paper we study the effects of the Generalized Uncertainty Principle (GUP) on the spectrum of a particle that is bouncing vertically and elastically on a smooth reflecting floor in the Earth's...
Neutrino oscillations trigger a minimal length      Neutrino  minimal length        font style='font-size:12px;'> 2011/1/5
In this paper, we investigate the effect of the presence of a quantum gravity induced minimal length in neutrino oscillation probabilities.
Neutrino oscillations trigger a minimal length      Neutrino  minimal length        font style='font-size:12px;'> 2010/12/21
In this paper, we investigate the effect of the presence of a quantum gravity induced minimal length in neutrino oscillation probabilities. Neutrinos can propagate freely over large distances without...
Hydrogen atom in momentum space with a minimal length      Hydrogen atom  momentum space  minimal length        font style='font-size:12px;'> 2010/10/18
A momentum representation treatment of the hydrogen atom problem with a generalized un- certainty relation,which leads to a minimal length (Xi)min = ~√3 + ′, is presented. We show that the distanc...
We solve analytically the Schr¨odinger equation for the N-dimensional inverse square potential in quantum mechanics with a minimal length in terms of Heun’s functions. We apply our results to the pr...

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