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Journals / Sakarya University Journal of Science / 2021 / Cilt: 25 Sayı: 5

Two-Dimensional Vector Boson Oscillator

Semra GÜRTAŞ DOĞAN
Pages
1210–1217
Publication Date
2021-10-30
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

According to these results, we discuss several properties of the two-dimensional VBO.

📌 3 Key Takeaways

🎯
Objective & Hypothesis: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.
📊
Key Findings & Data:We write the relativistic vector boson equation (VBE) and introduce the oscillator coupling through non-minimal substitutions.
💡
Conclusion & Impact:According to these results, we discuss several properties of the two-dimensional VBO.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Relativistic Quantum Mechanics · Quantum Oscillator · Vector Boson.

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.

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Cite This Article

DOĞAN, S. G. (2021). Two-Dimensional Vector Boson Oscillator. Sakarya University Journal of Science, Cilt: 25 Sayı: 5, 1210–1217. https://ajindex.com/articles/941764

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