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su(1,1) Symmetry and Exact Solutions of the Dunkl-Klein-Gordon Equation in Higher Dimensions

  • M. Salazar-Ramírez
  • B. C. Lütfüoğlu
  • Jesús Alfredo Martínez-Nuño
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Abstract

We investigate the d-dimensional Dunkl--Klein--Gordon equation for a scalar particle within an algebraic framework. By employing Schrödinger factorization, we construct the generators of the su(1,1) algebra and establish the associated symmetry of the radial sector. The corresponding energy spectra are derived from unitary irreducible representations, and the Sturmian radial bases are obtained analytically. We analyze the d-dimensional Dunkl--Klein--Gordon oscillator and the bound-state sector of the d-dimensional Dunkl--Klein--Gordon equation with a Dunkl--Coulomb-like potential. Furthermore, SU(1,1) coherent states are constructed and their time evolution is analyzed, revealing a characteristic radial oscillation behavior. The results show that the Dunkl deformation modifies the spatial and spectral structure of the system and, in the oscillator sector, introduces explicit parity-dependent energy shifts while preserving the underlying radial algebraic dynamics.

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Cite

BibTeXRIS
BibTeX
@misc{salazarramirez2026su11,
  title = {{su(1,1) Symmetry and Exact Solutions of the Dunkl-Klein-Gordon Equation in Higher Dimensions}},
  author = {M. Salazar-Ramírez and B. C. Lütfüoğlu and Jesús Alfredo Martínez-Nuño},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2606.27589},
  eprint = {2606.27589},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2606.27589},
}
RIS
TY  - UNPB
TI  - su(1,1) Symmetry and Exact Solutions of the Dunkl-Klein-Gordon Equation in Higher Dimensions
AU  - M. Salazar-Ramírez
AU  - B. C. Lütfüoğlu
AU  - Jesús Alfredo Martínez-Nuño
PY  - 2026
DA  - 2026/09/25
PB  - arXiv
DO  - 10.48550/arxiv.2606.27589
UR  - https://arxiv.org/abs/2606.27589
AB  - We investigate the d-dimensional Dunkl--Klein--Gordon equation for a scalar particle within an algebraic framework. By employing Schrödinger factorization, we construct the generators of the su(1,1) algebra and establish the associated symmetry of the radial sector. The corresponding energy spectra are derived from unitary irreducible representations, and the Sturmian radial bases are obtained analytically. We analyze the d-dimensional Dunkl--Klein--Gordon oscillator and the bound-state sector of the d-dimensional Dunkl--Klein--Gordon equation with a Dunkl--Coulomb-like potential. Furthermore, SU(1,1) coherent states are constructed and their time evolution is analyzed, revealing a characteristic radial oscillation behavior. The results show that the Dunkl deformation modifies the spatial and spectral structure of the system and, in the oscillator sector, introduces explicit parity-dependent energy shifts while preserving the underlying radial algebraic dynamics.
ER  -