Scattering amplitude of the Duffin-Kemmer-Petiau equation for the Yukawa potential for J = 0

Salehi, Nasrin; Hassanabadi, H.

doi:10.1140/epja/i2015-15100-6

Cited by 7 publications

(5 citation statements)

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“…Equation 10and the identity (12a), as well as (11) and the identity (12b), can be written in form of the Dirac equations: respectively, with one component equalling zero. Since in (13) and 14there is the same differential operator we can write these equations as a single Dirac equation. Substituting explicit formulae for the spinorṡanḋ(see [22]), we have…”

Section: From the Dkp Equations Tomentioning

confidence: 99%

“…The Duffin-Kemmer-Petiau (DKP) equations [1][2][3], describing spin 0 and spin 1 mesons, are becoming increasingly useful due to their applications to problems in particle and nuclear physics [4][5][6][7][8][9][10][11][12][13]. It is well known that the DKP equations contain redundant components since only 2(2 + 1) components are needed to describe free spin particles with nonzero rest masses [14,15] while = 0 and = 1 DKP equations contain 5 and 10 components, respectively.…”

Section: Introductionmentioning

confidence: 99%

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Synthesis of Relativistic Wave Equations: The Noninteracting Case

Okniński

2015

Advances in Mathematical Physics

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Section: From the Dkp Equations Tomentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Synthesis of Relativistic Wave Equations: The Noninteracting Case

Okniński

2015

Advances in Mathematical Physics

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“…Recently, the studies of the solutions of the wave equations have been extended to different areas of studies such as the thermodynamic properties [ 7 , 8 , 9 , 10 , 11 , 12 ], optical properties [ 13 , 14 , 15 ], scattering state and phase shift [ 16 , 17 , 18 , 19 , 20 ], entropic systems [ 21 , 22 , 23 , 24 , 25 , 26 ], Fisher information [ 27 , 28 , 29 , 30 , 31 , 32 ]. As part of the extensional studies, Onate et al.…”

Section: Introductionmentioning

confidence: 99%

Solutions of the Schrödinger equation and thermodynamic properties of a combined potential

Onate

Onyeaju

2021

Heliyon

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The solution of the radial Schrödinger equation was obtained using the methodology of supersymmetric approach with a combination of modified generalized Pöschl-Teller potential and inversely quadratic Yukawa potential model. The non-relativistic ro-vibrational energy spectra and the corresponding wave functions were obtained and numerical results were generated for some states. The variation of energy of the combined potential and the subsets potentials with the screening parameter for various quantum number were graphically studied. The effect of the potential parameters on the energy for different states was also studied numerically. For more usefulness and applications of the work, the vibrational partition function and the various thermal properties like mean energy, Helmholtz energy, heat capacity and entropy were calculated. The behaviour of the thermodynamic properties with respect to temperature change for various quantum number and maximum quantum states were examined in detail. The temperature has positive effect on all the thermal properties except the free energy.

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“…However, the spin-1 version of the DKP equation is unitarily equivalent to its spin-0 version in 1 +1 dimension, as was shown by Lunardi [10]. Recently, the DKP equation was utilized to obtain the scattering states of scalar bosons subject to the vector Yukawa potential [11]. The DKP equation with time-dependent interaction was used to study the scalar bosons in (1 +1) and (2 +1) dimensional space-time [12].…”

Section: Introductionmentioning

confidence: 99%