<p>We show that the inverted versions of the Mathews–Lakshmanan and Higgs oscillator systems admit closed-form bound states within the Dunkl formalism. Conditions for the existence and number of bound states are derived.</p>

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Mathews–Lakshmanan and Higgs oscillators: bound states of inverted systems with Dunkl formalism

  • Axel Schulze-Halberg

摘要

We show that the inverted versions of the Mathews–Lakshmanan and Higgs oscillator systems admit closed-form bound states within the Dunkl formalism. Conditions for the existence and number of bound states are derived.