Generalized Vector Boson Oscillator in (1+2)-Dimensional Gürses Space-Time

Candemir, Nuray; Ahmed, Faizuddin

doi:10.1007/s00601-023-01795-z

Cited by 3 publications

(3 citation statements)

References 53 publications

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“…In equation (17), M is the rest mass of the scalar charged bosons and ω is the angular frequency of the DKP oscillator. To generalize the DKP oscillator, the four-vector X μ = (0, r, 0, 0) is replaced by X μ = (0, f (r), 0, 0) [70][71][72][73][74][75]78,79,81,82], where f (r) is an arbitrary function other than r. Thus, the generalized DKP oscillator in curved space-time is described by the following equation In this section, we choose the following components of the four-vector potential of the electromagnetic field…”

Section: Generalized Dkp Oscillator Under the Influence Of Quantum Fl...mentioning

confidence: 99%

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Topological effects on generalized Duffin-Kemmer-Petiau oscillator under Aharonov–Bohm flux field and Coulomb potential

Candemir

Ahmed

2023

Phys. Scr.

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In this paper, we study the relativistic quantum motions of the oscillator field of the wave equation under the influence of the Aharonov-Bohm (AB) flux field with a Coulomb vector potential in the background of the topological defects produced by a cosmic string and global monopole space-time. We derive the radial equation of the generalized Duffin-Kemmer-Petiau (DKP) oscillator in a static cosmic string space-time and solve it through the Heun function equation. Afterwards, we derive the radial equation of the same generalizedDKP oscillator in a point-like global monopole background and obtain the eigenvalue solutions using the same procedure. The generalized oscillator field is studied by substituting the radial momentum operator $∂_{r} →(∂_{r}r + i\,M\,ω\,η^{0}\,f(r))$, where $f(r)$ is an arbitrary function other than linear and introduces a vector potential of Coulomb-types through a minimal substitution via $∂_{µ} → (∂_{µ} − i\,q\,A_{µ})$ in the relativistic wave equation. It is shown that the eigenvalue solutions of the oscillator field are influenced by the topological defects of the cosmic string and point-like global monopole space-times and get them modified. Furthermore, we see that the eigenvalue solutions depend on the geometric quantum phase, and hence, shifted them more in addition to the topological defects that show the gravitational analogue to the Aharonov-Bohm effect for the bound-states

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Section: Generalized Dkp Oscillator Under the Influence Of Quantum Fl...mentioning

confidence: 99%

“…. The considered function f (r) in equation ( 33) is known as the Cornell-type potential form function that has been used in quantum systems to study the generalized DKP oscillator [78,79,81] as well as the generalized KG [82] and Dirac oscillator [70].…”

Section: ( )mentioning

confidence: 99%

Topological effects on generalized Duffin-Kemmer-Petiau oscillator under Aharonov–Bohm flux field and Coulomb potential

Candemir

Ahmed

2023

Phys. Scr.

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“…Solutions of the DKP equation in curved space-time have been obtained for many systems and have been studied extensively in the literature in recent years [10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28]. In these references, the authors are considered various models of curved space-time and investigated the effects of such backgrounds on the energies of bound states of DKP particles.…”

Section: Introductionmentioning

confidence: 99%

Charged scalar bosons in a Bonnor–Melvin-$$\varLambda $$ universe at conical approximation

Castro,

Obispo,

Jirón

2024

Eur. Phys. J. C

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The quantum dynamics of charged scalar bosons in a Bonnor–Melvin-$$\varLambda $$ Λ universe is considered. In this study, the behavior of charged scalar bosons is explored within the framework of the Duffin–Kemmer–Petiau (DKP) formalism. Adopting a conical approximation $$(\varLambda \ll 1),$$ ( Λ ≪ 1 ) , we are considered two scenarios for the vector potential: a linear and quadratic vector potentials. In particular, the effects of this background in the equation of motion, phase shift, S-matrix, energy spectrum and DKP spinor are analyzed and discussed.

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Effects of (1+2)-dimensional circularly symmetric and static traversable wormhole with cosmic string on oscillator field

Ahmed

2023

Annals of Physics

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Generalized Vector Boson Oscillator in (1+2)-Dimensional Gürses Space-Time

Cited by 3 publications

References 53 publications

Topological effects on generalized Duffin-Kemmer-Petiau oscillator under Aharonov–Bohm flux field and Coulomb potential

Topological effects on generalized Duffin-Kemmer-Petiau oscillator under Aharonov–Bohm flux field and Coulomb potential

Charged scalar bosons in a Bonnor–Melvin-$$\varLambda $$ universe at conical approximation

Effects of (1+2)-dimensional circularly symmetric and static traversable wormhole with cosmic string on oscillator field

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