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arXiv · 2507.10947

SU(1,1) coherent states for the Dunkl- Klein-Gordon equation in its canonical form

M. Salazar-Ramírez·J. A. Martínez-Nuño·MR Cordero-López
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Abstract

Using representation-theoretic techniques associated with the $\mathfrak{su}(1,1)$ symmetry algebra, we construct Perelomov coherent states for the Dunkl-Klein-Gordon equation in its canonical form, which is free of first-order Dunkl derivatives. Our analysis is restricted to the even-parity sector and to the regime where the curvature constant $R$ is much smaller than the system's kinetic energy. The equation under consideration emerges from a matrix-operator framework based on Dirac gamma matrices and a universal length scale that encodes the curvature of space via the Dunkl operator, thereby circumventing the need for spin connections in the Dirac equation.

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M. Salazar-Ramírez, J. A. Martínez-Nuño, MR Cordero-López. 2025-07-15. SU(1,1) coherent states for the Dunkl- Klein-Gordon equation in its canonical form. https://arxiv.org/abs/2507.10947

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