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Exact solutions of the Duffin-Kemmer-Petiau equation with a pseudoharmonic potential in the presence of a magnetic field in \((1+2)\) dimensions. (English) Zbl 1270.81079

Summary: We will consider the relativistic Duffin-Kemmer-Petiau equation in the presence of a pseudoharmonic potential in a magnetic field in the \((1+2)\)-dimensional space-time for spin-one particles. To derive the energy eigenvalues and corresponding eigenfunctions, the analytical Nikiforov-Uvarov Method is used and some explanatory figures are included.

MSC:

81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics
81U15 Exactly and quasi-solvable systems arising in quantum theory
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