activity
19942021
most citedQuadratic Poisson algebras for two dimensional classical superintegrable systems and quadratic associative algebras for quantum superintegrable systems

156 citations · 433 across the 39 of their papers we have counts for

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Showing 1994Show all

4 papers · 1 filter

nucl-th1994

Nonlinear extension of the u(2) algebra as the symmetry algebra of the planar anisotropic quantum harmonic oscillator with rational ratio of frequencies and ``pancake'' nuclei

Dennis Bonatsos, C. Daskaloyannis, P. Kolokotronis +1

The symmetry algebra of the two-dimensional anisotropic quantum harmonic oscillator with rational ratio of frequencies, which is characterizing ``pancake'' nuclei, is identified as…

hep-th1994★ 9 cited

The symmetry algebra of the N-dimensional anisotropic quantum harmonic oscillator with rational ratios of frequencies and the Nilsson model

Dennis Bonatsos, C. Daskaloyannis, P. Kolokotronis +1

The symmetry algebra of the N-dimensional anisotropic quantum harmonic oscillator with rational ratios of frequencies is constructed by a method of general applicability to quantum…

hep-th1994★ 2 cited

Symmetry Algebra of the Planar Anisotropic Quantum Harmonic Oscillator with Rational Ratio of Frequencies

Dennis Bonatsos, C. Daskaloyannis, P. Kolokotronis +1

The symmetry algebra of the two-dimensional quantum harmonic oscillator with rational ratio of frequencies is identified as a non-linear extension of the u(2) algebra. The finite d…

hep-th1994★ 12 cited

Discretization of the phase space for a q-deformed harmonic oscillator with q a root of unity

D. Bonatsos, C. Daskaloyannis, D. Ellinas +1

The ``position'' and ``momentum'' operators for the q-deformed oscillator with q being a root of unity are proved to have discrete eigenvalues which are roots of deformed Hermite p…