Abstract
We study a boundary-value problem for the Klein-Gordon equation that is inspired by the well-known Mathews-Lakshmanan oscillator model. By establishing a link to the spheroidal equation, we show that our problem admits an infinite number of discrete energies, together with associated solutions that form an orthogonal set in a weighted L 2-Hilbert space.
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Schulze-Halberg, A., Wang, J. Bound State Solutions of the Klein-Gordon Equation for the Mathews-Lakshmanan Oscillator. Few-Body Syst 55, 1223–1232 (2014). https://doi.org/10.1007/s00601-014-0908-1
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DOI: https://doi.org/10.1007/s00601-014-0908-1