Two-Dimensional Vector Boson Oscillator

Year 2021, Volume: 25 Issue: 5, 1210 - 1217, 30.10.2021

Semra Gürtaş Doğan

https://doi.org/10.16984/saufenbilder.938739

Cited By: 2

Abstract

We introduce two-dimensional vector boson oscillator (VBO) by using the generalized vector boson equation that derived as an excited state from the canonical quantization of classical spinning particle with Zitterbewegung. We write the relativistic vector boson equation (VBE) and introduce the oscillator coupling through non-minimal substitutions. This form of the equation is linear in both momentum and coordinate. The corresponding equation gives a set of coupled equations. By solving these equations we obtain an exact energy spectrum for two-dimensional VBO. This energy spectrum includes spin coupling and shows that the oscillator frequency depends on the spin of the vector boson. According to these results, we discuss several properties of the two-dimensional VBO.

Keywords

Relativistic Quantum Mechanics, Quantum Oscillator, Vector Boson.

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