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Volume 29: Pages 10-13, 2016
The Duffin–Kemmer–Petiau equation (DKP) wavefunctions solutions according to the virial theorem for a spinless boson particle interacting with a potential V(r) = krn
Hasan Arslan 1,a) and Mazlum Ferhat Arslan2, b)
1Department of Physics, Faculty of Arts and Sciences, Bingöl l University, 12000 Bingöl, Turkey
2Department of Physics, Faculty of Arts and Sciences, Middle East Technical University, 06800 Ankara, Turkey
The Duffin–Kemmer–Petiau (DKP) equation is written for a spinless boson particle interacting with a potential V(r) = krn. The written equation is redesigned for this potential according to the virial theorem. This equation is solved for obtaining the five-component wavefunctions. The wavenumbers are found to be equal each other by inserting these wavefunctions in the obtained differential equations from the related DKP equation.
L'équation de Duffin-Kemmer-Petiau (DKP) est écrite pour une particule bosonique sans spin interagissant avec un potentiel . L'équation écrite est remaniée pour ce potentiel en vertu du théorème du viriel. Cette équation est résolue pour obtenir les fonctions d'onde à cinq composants. Les nombres d'onde s'avèrent être égaux l'un à l'autre en insérant ces fonctions d'onde dans les équations différentielles obtenues à partir de l'équation DKP apparentée.
Key words: Virial Theorem; DKP Equation; Wavefunctions; Wavenumbers.
Received: October 9, 2015; Accepted: December 5, 2015; Published Online: January 9, 2016
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