An extended version of the spin-one Duffin–Kemmer–Petiau oscillator

An extended version of the spin-one Duffin–Kemmer–Petiau oscillator

Abstract We study a covariant extension of the spin-one DuffinKemmerPetiau (DKP) oscillator constructed by combining a Lorentz tensor spin–orbit coupling with the basic DKP oscillator one. We show that this model has a spin-orbit splitting controllably independent from oscillator shells and admits e...

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Bibliographic Details
Published in:Physica scripta Vol. 96; no. 7; pp. 75003 - 75011
Main Authors: Chargui, Y, Dhahbi, A
Format: Journal Article
Language:English
Published: IOP Publishing 01-07-2021
Subjects:
DKP equation
Harmonic oscillator
Spin-orbit coupling
Online Access:Get full text
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Summary:Abstract We study a covariant extension of the spin-one DuffinKemmerPetiau (DKP) oscillator constructed by combining a Lorentz tensor spin–orbit coupling with the basic DKP oscillator one. We show that this model has a spin-orbit splitting controllably independent from oscillator shells and admits exact analytical solutions for both natural and unnatural parity states. The corresponding energy spectrum is then obtained for any value of the total angular momentum number and a drastic change in its structure is observed due to the additional spin–orbit coupling. In particular energy bounds and, in some cases, forbidden energy ranges are noted.
Bibliography:PHYSSCR-113440.R1
ISSN:0031-8949
1402-4896
DOI:10.1088/1402-4896/abf95f