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Minimal length in quantum space and integrations of the line element in Noncommutative Geometry
quantum space integrations line element Noncommutative Geometry
2011/7/25
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
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...
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...
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...
In this paper, we investigate the effect of the presence of a quantum gravity induced minimal
length in neutrino oscillation probabilities.
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
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...
Singular inverse square potential in arbitrary dimensions with a minimal length: Application to the motion of a dipole in a cosmic string background
Singular inverse square potential arbitrary dimensions minimal length: Application to the motion dipole cosmic string background
2010/10/18
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...