Effect of internal magnetic flux on a relativistic spin-1 oscillator

Guvendi, Abdullah; Doğan, Semra Gürtaş

doi:10.48550/arxiv.2206.09898

Cited by 2 publications

(3 citation statements)

References 38 publications

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“…The vector boson equation was derived as an excited state of Zitterbewegung and it corresponds to spin-1 sector of the Duffin-Kemmer-Petiau equation in 2 + 1 dimensions [9,34]. The generalized vector boson equation can be written as the following [19,79,80]…”

Section: Matrix Equationmentioning

confidence: 99%

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Vector boson oscillator in the near-horizon of the BTZ black hole

Guvendi¹,

Doğan²

2022

Class. Quantum Grav.

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We investigate the interaction of a generalized vector boson oscillator with the near-horizon geometry of the BTZ black hole and try to determine the corresponding quasibound state frequencies. To do this, we seek an analytical solution of the relativistic vector boson equation, derived as an excited state of Zitterbewegung, with Cornell-type non-minimal coupling in the near-horizon geometry of the BTZ black hole. The vector boson equation includes a symmetric spinor of rank two and this allows to obtain an analytical solution of the corresponding equation. By imposing appropriate boundary conditions, we show that it is possible to arrive at a relativistic frequency ($\omega$) expression in the form of $\omega=\omega_{\mathcal{R}e}+\omega_{\mathcal{I}m}$. Our results show that real($\propto \omega_{\mathcal{R}e}$) and damped($\propto \frac{1}{|\omega_{\mathcal{I}m}|}$) oscillations depend on the parameters of the background geometry, coefficients of the non-minimal coupling and strength of the oscillator. This allows us to analyse the effects of both non-minimal coupling and spacetime parameters on the evolution of the considered vector field. We discuss the results in details and see also that the background is stable under the perturbation field in question.

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Section: Matrix Equationmentioning

confidence: 99%

“…This matrix equation leads a set of coupled equations, one of which is algebraic (see also [79,80]). Thanks to this, we can obtain a 2nd order wave equation for one of the defined spinor components.…”

Section: Matrix Equationmentioning

confidence: 99%

Vector boson oscillator in the near-horizon of the BTZ black hole

Guvendi¹,

Doğan²

2022

Class. Quantum Grav.

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“…After the Dirac oscillator (DO) [20], describing the interaction of a changing (linearly) electric field with an anomalous magnetic moment, had been introduced, the KG oscillator [21], DKP oscillator [22] and VB oscillator [23,24] were introduced through establishing an analogy to the DO. The relativistic oscillators describe real physical systems [25,26] and have several applications [27][28][29][30][31][32][33][34][35] in many areas of modern physics. Furthermore, the relativistic oscillators are the most preferred systems to determine the effects of topological defects on the associated systems and one of the most famous topological defects is the cosmic string.…”

Section: Introductionmentioning

confidence: 99%

Effects of Gravity’s Rainbow on a Relativistic Spin-1 Oscillator

Doğan

2023

Journal of Scientific Reports-A

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We consider a relativistic spin-1 particle with non-minimal coupling in the context of gravity’s rainbow in the three dimensional background spacetime spanned by static cosmic string. In this context, we acquire an exact solution of the associated spin-1 equation in the modified three dimensional static cosmic string-spanned background spacetime. This relativistic wave equation includes a reducible spinor and this allows us to acquire a non-perturbative expression including the modification functions in the energy domain. In the low energy limit, our results agree well with current literature and provide a basis to discuss the fundamental features of the relativistic spin-1 oscillator. Afterwards, we try to discuss the effects of gravity rainbow functions on the considered spin-1 oscillator in three different scenarios for the modification functions.

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Effect of internal magnetic flux on a relativistic spin-1 oscillator

Cited by 2 publications

References 38 publications

Vector boson oscillator in the near-horizon of the BTZ black hole

Vector boson oscillator in the near-horizon of the BTZ black hole

Effects of Gravity’s Rainbow on a Relativistic Spin-1 Oscillator

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