SO q ( N ) - isotropic Harmonic Oscillator on the Quantum Euclidean Space R Nq 1 Gaetano

The SOq(N) - Symmetric Harmonic Oscillator on the Quantum Euclidean Space RN q and its Hilbert Space Structure” Int

O ct 2 00 4 New approach to Hermitian q - differential operators on R Nq Gaetano Fiore

We report on our recent breakthrough [9] in the costruction for q > 0 of Hermitean and “tractable” differential operators out of the Uqso(N)covariant differential calculus on the noncommutative manifolds Rq (the socalled “quantum Euclidean spaces”).

Super algebra and Harmonic Oscillator in Anti de Sitter space

The harmonic oscillator in anti de Sitter space(AdS) is discussed. We consider the harmonic oscillator potential and then time independent Schrodinger equation in AdS space. Then we apply the supersymmetric Quantum Mechanics approach to solve our differential equation. In this paper we have solved Schrodinger equation for harmonic oscillator in AdS spacetime by supersymmetry approach. The shape...

Isotropic Constant Dimension Subspace Codes

 In network code setting, a constant dimension code is a set of k-dimensional subspaces of F nq . If F_q n is a nondegenerated symlectic vector space with bilinear form f, an isotropic subspace U of F n q is a subspace that for all x, y ∈ U, f(x, y) = 0. We introduce isotropic subspace codes simply as a set of isotropic subspaces and show how the isotropic property use in decoding process, then...

2 1 Fe b 20 06 On the hermiticity of q - differential operators and forms on the quantum Euclidean spaces R Nq

We show that the complicated ⋆-structure characterizing for positive q the Uqso(N)-covariant differential calculus on the non-commutative manifold Rq boils down to similarity transformations involving the ribbon element of a central extension of Uqso(N) and its formal square root ṽ. Subspaces of the spaces of functions and of p-forms on Rq are made into Hilbert spaces by introducing non-convent...