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Relationship between quantum mechanics with and without monopoles

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arxiv hep-th/0610301 v1 pith:NQKNAALS submitted 2006-10-28 hep-th math-phmath.MP

classification hep-thmath-phmath.MP
keywords quantumchangenumbersoscillatorwavefunctionadditionangularazimuth
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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.

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Cited by 2 Pith papers

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    The thesis derives explicit first integrals and Killing tensors for geodesics in near-horizon Myers-Perry black holes, introduces a B-memory formulation of gravitational memory, and constructs resonant spacetimes from...

  2. Generalized MICZ-Kepler systems on three-dimensional sphere and hyperboloid

    math-ph 2026-01 conditional novelty 5.0 of 10

    Curved-space analogs of the generalized MICZ-Kepler system on S³ and the 3D hyperboloid are solved exactly, with two-quantum-number spectra and normalized wavefunctions.

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