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#### 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 ...

#### Effect of the minimal length uncertainty relation on the density of states and the cosmological constant problem

(American Physical Society, 2002-06-15)

We investigate the effect of the minimal length uncertainty relation, motivated by perturbative string theory, on the density of states in momentum space. The relation is implemented through the modified commutation relation ...

#### Mass, entropy, and holography in asymptotically de Sitter spaces

(American Physical Society, 2002-06-15)

We propose a novel prescription for computing the boundary stress tensor and charges of asymptotically de Sitter (dS) spacetimes from data at early or late time infinity. If there is a holographic dual to dS spaces, defined ...

#### 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 ...