Kulikov, D. A.; Tutik, R. S.; Yaroshenko, A. P. An alternative model for the Duffin-Kemmer-Petiau oscillator. (English) Zbl 1078.81020 Mod. Phys. Lett. A 20, No. 1, 43-49 (2005). Summary: A new oscillator model with different form of the non-minimal substitution within the framework of the Duffin–Kemmer–Petiau equation is offered. The model possesses exact solutions and a discrete spectrum of high degeneracy. The distinctive property of the proposed model is the lack of the spin-orbit interaction, being typical for other relativistic models with the non-minimal substitution, and the different value of the zero-point energy in comparison with that for the Duffin–Kemmer–Petiau oscillator described in the literature. Cited in 8 Documents MSC: 81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics 81R20 Covariant wave equations in quantum theory, relativistic quantum mechanics Keywords:Duffin-Kemmer-Petiau equation; bound states; oscillator model PDFBibTeX XMLCite \textit{D. A. Kulikov} et al., Mod. Phys. Lett. A 20, No. 1, 43--49 (2005; Zbl 1078.81020) Full Text: DOI arXiv References: [1] Micu L., Mod. Phys. Lett. 18 pp 2895– · Zbl 1079.81519 · doi:10.1142/S0217732303012325 [2] Tegen R., Z. Phys. 307 pp 339– · doi:10.1007/BF01421296 [3] Franklin J., Mod. Phys. Lett. 14 pp 2409– · doi:10.1142/S0217732399002492 [4] De Castro A. S., Mod. Phys. Lett. 15 pp 4355– [5] DOI: 10.1088/0305-4470/22/17/002 · doi:10.1088/0305-4470/22/17/002 [6] Itó D., Nuovo Cimento 51 pp 419– [7] DOI: 10.1103/PhysRev.180.1225 · doi:10.1103/PhysRev.180.1225 [8] DOI: 10.1007/BF02785170 · doi:10.1007/BF02785170 [9] Cho Y. M., Nuovo Cimento 23 pp 550– · doi:10.1007/BF02821233 [10] Lisboa R., Phys. Rev. 69 pp 024319– [11] Bruce S., Nuovo Cimento 106 pp 711– · doi:10.1007/BF02787240 [12] Dvoeglazov V. V., Nuovo Cimento 107 pp 1413– [13] DOI: 10.1063/1.529886 · doi:10.1063/1.529886 [14] Debergh N., Z. Phys. 56 pp 421– [15] Rubakov V. A., Mod. Phys. Lett 3 pp 1337– · doi:10.1142/S0217732388001616 [16] DOI: 10.1088/0305-4470/27/12/033 · Zbl 0829.35135 · doi:10.1088/0305-4470/27/12/033 [17] DOI: 10.1139/p96-147 · doi:10.1139/p96-147 [18] Petiau G., Acad. R. Belg. Cl. Sci. Mem. Collect 16 [19] DOI: 10.1103/PhysRev.54.1114 · Zbl 0020.09006 · doi:10.1103/PhysRev.54.1114 [20] Corson E. M., Introduction to Tensors, Spinors, and Relativistic Wave-Equations (1953) · Zbl 0053.32507 [21] DOI: 10.1063/1.530801 · Zbl 0816.35145 · doi:10.1063/1.530801 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.