Relativistic quantum mechanical spin-1 wave equation in 2 + 1 dimensional spacetime

Dernek, Mustafa; Doğan, Semra Gürtaş; Sucu, Yusuf; Ünal, Necmettin

doi:10.3906/fiz-1801-8

Cited by 18 publications

(19 citation statements)

References 65 publications

(88 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Under this condition, the symmetric spinor can be constructed by kronocker product of two dirac spinors [1,[4][5][6]. However, it is important to underline that this symmetric spinor does not include the spin-0 sector in 2+1 dimensions [7]. The vector boson equation (…”

Section: Introductionmentioning

confidence: 99%

Effects of Rotating Frame on a Vector Boson Oscillator

Guvendi

2021

Sakarya University Journal of Science

View full text Add to dashboard Cite

We analyze the effects of the spacetime topology and angular velocity of rotating frame on the dynamics of a relativistic vector boson oscillator ( ). To determine these effects on the energy of the we solve the corresponding vector boson equation in the rotating frame of 2+1 dimensional cosmic string-induced spacetime background. We obtain an exact energy spectrum, which depends on the angular velocity of the rotating frame and angular deficit parameter of the background. We show that the effects of angular deficit parameter on each energy level of the cannot be same and the angular velocity of the rotating frame couples with the spin of the . Furthermore, we have obtained that the angular velocity of rotating frame breaks the symmetry of the positive-negative energy states.

show abstract

Section: Introductionmentioning

confidence: 99%

Effects of Rotating Frame on a Vector Boson Oscillator

Guvendi

2021

Sakarya University Journal of Science

View full text Add to dashboard Cite

show abstract

“…respectively [57,58]. To calculate the quantum gravity effect on the tunnelling probability of the massive vector boson from the black hole, we use the following ansatz for the modified wave function [41,57,58],…”

Section: Tunneling Of Massive Dirac Particle From Spinning Dilaton Blmentioning

confidence: 99%

Quantum gravity effect on the Hawking radiation of spinning dilaton black hole

Geçim

Sucu

2019

Eur. Phys. J. C

Self Cite

View full text Add to dashboard Cite

The quantum gravity correction to the Hawking temperature of the 2+1 dimensional spinning dilaton black hole is studied by using the Hamilton-Jacobi approach in the context of the Generalized Uncertainty Principle (GUP). It is observed that the modified Hawking temperature of the black hole depends on both black hole and the tunnelling particle properties. Moreover, it is observed that the mass and the angular momentum of the scalar particle have the same effect on the Hawking temperature of the black hole, while the mass and total angular momentum (orbital+spin) of Dirac particle have different effect. Furthermore, the mass and total angular momentum (orbital+spin) of vector boson particle have a similar effect that of Dirac particle. Also, thermodynamical stability and phase transition of the black hole are discussed for scalar, Dirac and vector boson in the context of GUP, respectively. And, it is observed that the scalar particle probes the black hole as stable whereas, as for Dirac and vector boson particles, it might undergoes secondtype phase transition to become stable while in the absence of the quantum gravity effect all of these particle probes the black hole as stable.

show abstract

“…In the presence of the electromagnetic interaction, the standard massive vector boson equation given in [96] can be modified in the context of GUP relations as follows;…”

Section: Appendixmentioning

confidence: 99%

Quantum gravity effect on the Hawking radiation of charged rotating BTZ black hole

Geçim

Sucu

2018

Gen Relativ Gravit

Self Cite

View full text Add to dashboard Cite

In this study, the quantum gravity effect on the tunnelling radiation of charged massive spin-0 scalar particle from 2+1 dimensional charged rotating Banados-Teitelboim-Zanelli (BTZ) black hole is looked into by using the Hamilton-Jacobi approach. For this, we calculate the modified Hawking temperature of the black hole by using the modified Klein-Gordon equation based on the Generalized Uncertainty Principle (GUP), and we noticed that the modified Hawking temperature of the black hole depends not only on the black hole properties, but also on the angular momentum, energy, charge and mass of the tunnelling scalar particle. Using the modified Hawking temperature, we discussed the stability of the black hole in the context of the modified heat capacity, and observed that it might undergo both first and second-type phase transitions in the presence of the quantum gravity effect, but just a first-type transition in the absence of the quantum gravity effect. Furthermore, we investigated the modified Hawking temperature of the black hole by using the tunnelling processes of the charged massive Dirac and vector boson particles. We observed that scalar, Dirac and vector particles are tunnelled from the black hole completely differently from each other in the presence of the quantum gravity effect.

show abstract

Relativistic quantum mechanical spin-1 wave equation in 2 + 1 dimensional spacetime

Cited by 18 publications

References 65 publications

Effects of Rotating Frame on a Vector Boson Oscillator

Effects of Rotating Frame on a Vector Boson Oscillator

Quantum gravity effect on the Hawking radiation of spinning dilaton black hole

Quantum gravity effect on the Hawking radiation of charged rotating BTZ black hole

Contact Info

Product

Resources

About