2006/10/28 by L. G. Mardoyan, Levon Mardoyan, Armen Nersessian +1 · 2 citations
Mathematics · Physics and Astronomy · #Noncommutative and Quantum Gravity Theories #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #hep-th #math-ph #math.MP
paper · pdf · doi:10.1016/j.physleta.2007.01.049
published as Phys.Lett.A366:30-35,2007 · LaTeX, 6 pages
arxiv created 2006/10/28 · openalex publication_date 2007/02/09 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We show that the inclusion of the monopole field in the three- and five-dimensional spherically symmetric quantum mechanical systems, supplied by the addition of the special centrifugal term, does not yield any change in the radial wavefunction and in the functional dependence of the energy spectra on quantum numbers. The only change in the spectrum is the lift of the range of the total and azimuth quantum numbers. The changes in the angular part wavefunction are independent of the specific choice of the (central) potential. We also present the integrable model of the spherical oscillator which is different from the Higgs oscillator.