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Short distance versus long distance physics: The classical limit of the minimal length uncertainty relation
(American Physical Society, 2002-07-15)
We continue our investigation of the phenomenological implications of the "deformed" commutation relations [(x) over cap (i),(p) over cap (j)]=i (h) over bar[(1+beta(p) over cap (2))delta(ij)+beta'(p) over cap (i)(p) over ...
Exact solution of the harmonic oscillator in arbitrary dimensions with minimal length uncertainty relations
(American Physical Society, 2002-06-15)
We determine the energy eigenvalues and eigenfunctions of the harmonic oscillator where the coordinates and momenta are assumed to obey the modified commutation relations [(x) over cap (i),(p) over cap (j)]=i (h) over ...