Duffin-Kemmer-Petiau equation in Robertson-Walker space-time

Falek, Mokhtar; Merad, M.

doi:10.2478/s11534-009-0112-y

Cited by 6 publications

(4 citation statements)

References 33 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…where R(r) is the radial function and χ(θ, f) is the spherical harmonics function. Thereby, substituting the wave function (30) into the equation (28) and after separating the radial and angular equations, we obtain the following radial equation for R(r) as…”

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

confidence: 99%

“…Besides these wave equations, another wave equation is called the Duffin-Kemmer-Petiau (DKP) equation which describes the relativistic spin-zero scalar and spin-one vector bosons [18][19][20][21]. This DKP wave equation in various space-time backgrounds in (1 + 1)-, (1 + 2)-, and (1 + 3)-dimensions, respectively, have been investigated by several authors in the literature [22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37]. Noted that the DKP equation is similar to the Dirac equation except that the gamma-matrices γ μ in the Dirac equation are replaced with the beta-matrices β μ satisfying the DKP algebra [38].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

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

Candemir

Ahmed

2023

Phys. Scr.

View full text Add to dashboard Cite

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

show abstract

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

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

Candemir

Ahmed

2023

Phys. Scr.

View full text Add to dashboard Cite

show abstract

“…It allows us to understand several physical phenomena of Relativistic Quantum Mechanics, such as bound states, transmission resonances, and superradiance. The Dirac equation is not the only first-order relativistic equation in the literature another first-order relativistic equation can be found, namely, the Duffin-Kemmer-Petiau (DKP) equation 1 . These two equations are closely related; in fact, they shared the same structure but replace the gamma matrices with beta matrices which follow a more complex algebra, namely the DKP algebra 2 .…”

Section: Introductionmentioning

confidence: 99%

The superradiance phenomenon in spin-one particles

Sebastian¹,

Rojas²

2023

Preprint

View full text Add to dashboard Cite

In this article, we solve the Duffin-Kemmer-Petiau (DKP) equation in the presence of hyperbolic tangent potential for spin-one particles. By partitioning the spin-one spinor, we show that the DKP equation is equivalent to the Klein-Gordon equation formalism. The scattering solutions are derived in terms of hypergeometric functions. The reflection R and transmission T coefficients are calculated in terms of the Gamma functions. The results show the presence of the superradiance phenomenon when R for a specific region in the potential becomes greater than one.

show abstract

“…The creation of particles by an electric field in curved spacetime is an active research field and continue to attract attentions as in the cosmological models of an expanding universe [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16]. On the other hand, the creation of particles by the Coulomb potential of an external electric field is a topic that has received a special interest [4,[17][18][19][20][21][22] and the references cited in the three relevant reviews [23][24][25].…”

Section: Introductionmentioning

confidence: 99%

Influence of a cosmic string on the rate of pairs produced by the Coulomb potential

Bounames¹

2022

Preprint

View full text Add to dashboard Cite

We study particle creation phenomenon by the Coulomb potential of an external electric field in the presence of a gravitational field of a static cosmic string. For that, the generalized Klein-Gordon and Dirac equations are solved, and by using the Bogoliubov transformation we calculate the probability and the number density of created particles. Then, we discuss the influence of the cosmic string on the rate of pairs produced by the Coulomb potential. For the grand unified theory (GUT) cosmic string, the production of spinless particles is possible if the Coulomb potential nucleus charge Z ≥ 206, and for spin-1/2 particles if Z ≥ 275.

show abstract

Duffin-Kemmer-Petiau equation in Robertson-Walker space-time

Cited by 6 publications

References 33 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

The superradiance phenomenon in spin-one particles

Influence of a cosmic string on the rate of pairs produced by the Coulomb potential

Contact Info

Product

Resources

About