Landau Quantization for Relativistic Vector Bosons in a Gödel-Type Geometric Background

Doğan, Semra Gürtaş

doi:10.1007/s00601-022-01736-2

Cited by 3 publications

(5 citation statements)

References 56 publications

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“…The other applications of the relativistic spin-1 equations can be found in the Refs. [31][32][33][34]. However, we could not find any announced results about the interaction of relativistic spin-1 oscillator, known also as vector boson oscillator, with electromagnetic fields in the literature.…”

Section: Introductionmentioning

confidence: 68%

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

Guvendi¹,

Doğan²

2022

Preprint

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We investigate the effect of internal magnetic flux on the charged relativistic spin-1 oscillator in a three dimensional background geometry spanned by a point source. By performing an analytical solution of the spin-1 equation, derived as an excited state of zitterbewegung, we obtain a non-perturbative spectrum in closed-form. We observe that oscillator frequency is altered due to spin coupling since spin of the oscillator is affected by the internal magnetic flux. We show that our results agree well with the previously announced results and then discuss interesting features of the considered system.

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Section: Introductionmentioning

confidence: 68%

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

Guvendi¹,

Doğan²

2022

Preprint

Self Cite

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“…( 8) into the Eq. ( 1), one obtains a 4 × 4 dimensional matrix equation in reducible form (see also [62]). This equation can be rewritten by defining a new dimensionless independent variable, 𝑧 = 𝜅𝜌 2 , as follows…”

Section: Effects Of Gravity's Rainbow Functionsmentioning

confidence: 99%

“…The well-known DKP equation's spin-1 sector in three dimensions corresponds to the spin-1 equation, which was obtained as an excited state of Zitterbewegung [2][3][4][5]. This spin-1 equation includes a reducible spinor and yields 3× 3 dimensional matrix equation in any 2+1 dimensional spacetime [6,7]. In the current literature, we see that relativistic dynamics of the spin-0 bosons are studied through solving the spin-0 sector of the DKP equation [8] and the KG equation [9].…”

Section: Introductionmentioning

confidence: 99%

“…In the current literature, we see that relativistic dynamics of the spin-0 bosons are studied through solving the spin-0 sector of the DKP equation [8] and the KG equation [9]. Due to the relative complexity, there is not much research based on the dynamics of spin-1 bosons in curved spaces [4][5][6][7]10]. The announced results have shown that the covariant VB equation can provide a strong basis to analyse the dynamics of relativistic spin-1 particles in any 2+1 dimensional spacetime [4][5][6][7]10].…”

Section: Introductionmentioning

confidence: 99%

“…Due to the relative complexity, there is not much research based on the dynamics of spin-1 bosons in curved spaces [4][5][6][7]10]. The announced results have shown that the covariant VB equation can provide a strong basis to analyse the dynamics of relativistic spin-1 particles in any 2+1 dimensional spacetime [4][5][6][7]10]. Furthermore, this equation was also used to analyse the quantum gravity effects on the Hawking temperature of three dimensional black holes [11,12].…”

Section: Introductionmentioning

confidence: 99%

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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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Weyl fermions in a 2+1 dimensional optical background of constant negative curvature

Doğan

Guvendi

2023

Eur. Phys. J. Plus

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Landau Quantization for Relativistic Vector Bosons in a Gödel-Type Geometric Background

Cited by 3 publications

References 56 publications

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

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

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

Weyl fermions in a 2+1 dimensional optical background of constant negative curvature

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