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Now showing items 1-10 of 14

#### 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 ...

#### Hydrogen-atom spectrum under a minimal-length hypothesis

(Amer Physical Soc, 2005-07-01)

#### 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 ...

#### Quantum Gravity, Dynamical Energy-Momentum Space and Vacuum Energy

(World Scientific Publ Co Pte Ltd, 2010-11-01)

#### Classical Implications of the Minimal Length Uncertainty Relation

We study the phenomenological implications of the classical limit of the "stringy" commutation relations [x_i,p_j]=i hbar[(1+beta p^2) delta_{ij} + beta' p_i p_j]. In particular, we investigate the "deformation" of Kepler's ...

#### Glueball spectrum of pure Yang-Mills theory in 2+1 dimensions

(American Physical Society, 2007-09)

We present details of the analytic computation of the spectrum of lowest spin glueballs in pure Yang-Mills theory in 2+1 dimensions. The new ingredient is provided by the conjectured new nontrivial expression for the ...

#### 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 ...

#### Notes on spacetime thermodynamics and the observer dependence of entropy

(American Physical Society, 2004-03)

Because of the Unruh effect, accelerated and inertial observers differ in their description of a given quantum state. The implications of this effect are explored for the entropy assigned by such observers to localized ...

#### Hydrogen-atom spectrum under a minimal-length hypothesis

(American Physical Society, 2005-07)

The energy spectrum of the Coulomb potential with minimal length commutation relations [X-i, P-j] = ih{delta ij(1 + beta P-2) + beta PiPj} is determined both numerically and perturbatively for arbitrary values of beta'/beta ...