Solution of DKP equation in Woods–Saxon potential

Boutabia-Chéraitia, B.; Boudjedaa, T.

doi:10.1016/j.physleta.2005.02.029

Cited by 68 publications

(34 citation statements)

References 16 publications

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“…This equation has been studied in atomic and condensed matter physics [5,6,7,8,9,10,11,12,13,14]. The DKP equation under different kind of potentials have been studied by various authors [15,16,17,18,19,20,21].…”

Section: Introductionmentioning

confidence: 99%

Spin-0 system of DKP equation in the background of a flat class of Gödel-type spacetime

Ahmed

Hassanabadi

2019

Mod. Phys. Lett. A

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Section: Introductionmentioning

confidence: 99%

Spin-0 system of DKP equation in the background of a flat class of Gödel-type spacetime

Ahmed

Hassanabadi

2019

Mod. Phys. Lett. A

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“…The algebra (2) has three different representations: a (onedimensional) trivial representation, a five-dimensional representation describing spin-0 bosons, and a ten-dimensional representation describing spin-1 bosons. As a Dirac-type relativistic quantum mechanical model, DKP equation with various potentials has been studied in the past years [4][5][6][7][8].…”

Section: Introductionmentioning

confidence: 99%

Quantum Speed Limit for Relativistic Spin-0 and Spin-1 Bosons on Commutative and Noncommutative Planes

Wang¹,

Zhang²,

Wang³

et al. 2017

Advances in High Energy Physics

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Quantum speed limits of relativistic charged spin-0 and spin-1 bosons in the background of a homogeneous magnetic field are studied on both commutative and noncommutative planes. We show that, on the commutative plane, the average speeds of wave packets along the radial direction during the interval in which a quantum state is evolving from an initial state to the orthogonal final one can not exceed the speed of light, regardless of the intensities of the magnetic field. However, due to the noncommutativity, the average speeds of the wave packets on noncommutative plane will exceed the speed of light in vacuum provided the intensity of the magnetic field is strong enough. It is a clear signature of violating Lorentz invariance in the relativistic quantum mechanics region.

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“…Also, the scattering state of bosons with asymmetric Hulthen potential have been investigated by Sogut and Havare [11] . Boutabia-Cheraitia and Boudjedaa [12] solved the DKP equation in the presence of Woods -Saxon for spin-1 and spin-0 and also deduced the transmission and reflection coefficients. Hassanabadi et al [13] solved the DKP for a vector Deng-Fan potential using the ansatz method.…”

Section: Introductionmentioning

confidence: 99%

Scattering State of Coupled Hulthen–Woods–Saxon Potentials for the Duffin–Kemmer–Petiau Equation with Pekeris Approximation for the Centrifugal Term

Ikot

Obong

Olisa

et al. 2015

Zeitschrift Für Naturforschung A

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We studied the approximate analytical scattering state of the Duffin -Kemmer -Petiau (DKP) equation for arbitrary l -state for couple Hulthen -Woods -Saxon potential using the Pekeris approximation for the centrifugal term. We obtained an energy spectrum, normalised radial wave functions of the scattering states, and the corresponding formula for the phase shifts, which is derived in detail. Special cases of Hulthen and Woods -Saxon potentials were also studied.

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Solution of DKP equation in Woods–Saxon potential

Cited by 68 publications

References 16 publications

Spin-0 system of DKP equation in the background of a flat class of Gödel-type spacetime

Spin-0 system of DKP equation in the background of a flat class of Gödel-type spacetime

Quantum Speed Limit for Relativistic Spin-0 and Spin-1 Bosons on Commutative and Noncommutative Planes

Scattering State of Coupled Hulthen–Woods–Saxon Potentials for the Duffin–Kemmer–Petiau Equation with Pekeris Approximation for the Centrifugal Term

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