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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 ...
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...