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Parafermionic and Generalized Parafermionic Algebras
Dennis Bonatsos, C. Daskaloyannis, K. Kanakoglou
The general properties of the ordinary and generalized parafermionic algebras are discussed. The generalized parafermionic algebras are proved to be polynomial algebras. The ordina…
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…
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…