Bound states of the isotonic Mathews–Lakshmanan oscillator system within the Dunkl formalism-Reference-Cited by-同舟云学术

Bound states of the isotonic Mathews–Lakshmanan oscillator system within the Dunkl formalism

Published:2022-09-07 Issue:27 Volume:37 Page:
ISSN:0217-7323
Container-title:Modern Physics Letters A
language:en
Short-container-title:Mod. Phys. Lett. A

Author:

Schulze-Halberg Axel¹^ORCID

Affiliation:

1. Department of Mathematics and Actuarial Science, and Department of Physics, Indiana University Northwest, 3400 Broadway, Gary IN 46408, USA

Abstract

We construct a quantum Hamiltonian for the isotonic Mathews–Lakshmanan oscillator system within the Dunkl formalism. It is shown that the Dunkl Hamiltonian does not admit bound states if the isotonic term is present. If the isotonic term is not present, then the Dunkl Hamiltonian admits bound states of even parity only. These results are in contrast to the findings for the conventional Mathews–Lakshmanan oscillator system.

Publisher

World Scientific Pub Co Pte Ltd

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217732322501784

Reference27 articles.

1. An Introduction to Dunkl Theory and Its Analytic Aspects

2. Nonlinear dynamics of a position-dependent mass-driven Duffing-type oscillator

3. On harmonic analysis related with the generalized Dunkl operator

4. The Dunkl kernel and intertwining operator for dihedral groups

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