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An alternative model for the Duffin-Kemmer-Petiau oscillator. (English) Zbl 1078.81020

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.

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
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References:

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