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

• URL: http://arxiv.org/abs/2507.10947v1
• Date: Tue, 15 Jul 2025 03:27:19 GMT
• Title: SU(1,1) coherent states for the Dunkl- Klein-Gordon equation in its canonical form
• Authors: M. Salazar-Ramírez, J. A. Martínez-Nuño, MR Cordero-López,
• Abstract summary: We construct Perelomov coherent states for the Dunkl-Klein-Gordon equation in its canonical form.<n>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.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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