SU(1,1) coherent states for the Dunkl- Klein-Gordon equation in its canonical form
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866908449819852800 |
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| author | Salazar-Ramírez, M. Martínez-Nuño, J. A. Cordero-López, MR |
| author_facet | Salazar-Ramírez, M. Martínez-Nuño, J. A. Cordero-López, MR |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2507_10947 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | SU(1,1) coherent states for the Dunkl- Klein-Gordon equation in its canonical form Salazar-Ramírez, M. Martínez-Nuño, J. A. Cordero-López, MR Quantum Physics 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. |
| title | SU(1,1) coherent states for the Dunkl- Klein-Gordon equation in its canonical form |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2507.10947 |