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math.QA1999
suq(2)-Invariant Schrodinger Equation of the Three-Dimensional Harmonic Oscillator
M. Irac-Astaud, C. Quesne
We propose a q-deformation of the su(2)-invariant Schrodinger equation of a spinless particle in a central potential, which allows us not only to determine a deformed spectrum and…
math.QA1999
Covariant (hh')-Deformed Bosonic and Fermionic Algebras as Contraction Limits of q-Deformed Ones
C. Quesne
-covariant (hh')-bosonic (or (hh')-fermionic) algebras are built in terms of the corresponding R_h and -matrices by cont…
math-ph1999
Algebraic Realization of Supersymmetric Quantum Mechanics for Cyclic Shape Invariant Potentials
C. Quesne, N. Vansteenkiste
We study in detail the spectrum of the bosonic oscillator Hamiltonian associated with the -extended oscillator algebra \algthree, where denotes a cyclic group of order t…