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We present the exact solution of the three-dimensional Duffin--Kemmer--Petiau oscillator for both spin 0 and spin 1 cases, with the presence of minimal uncertainty in momentum in anti--de Sitter model. We use the representation of vector…

Quantum Physics · Physics 2021-02-24 Mokhtar Falek , Mustafa Moumni , Mahmoud Merad

We study the non-inertial effects of a rotating frame on a spin-zero, Duffin-Kemmer-Petiau (DKP)-like oscillator in a cosmic string space-time with non-commutative geometry in the momentum space. The spin-zero DKP-like oscillator is…

General Relativity and Quantum Cosmology · Physics 2022-04-08 R. R. Cuzinatto , M. de Montigny , P. J. Pompeia

Using the momentum space representation, we study the (2 +1)-dimensional Duffin-Kemmer-Petiau oscillator for spin 0 particle under a magnetic field in the presence of a minimal length in the noncommutative space. The explicit form of energy…

High Energy Physics - Theory · Physics 2017-06-15 Bing-Qian Wang , Zheng-Wen Long , Chao-Yun Long , Shu-Rui Wu

Scalar and vector bosons in the background of one-dimensional nonminimal vector linear plus inversely linear potentials are explored in a unified way in the context of the Duffin-Kemmer-Petiau theory. The problem is mapped into a…

High Energy Physics - Theory · Physics 2015-06-03 T. R. Cardoso , L. B. Castro , A. S. de Castro

Some properties of minimal and nonminimal vector interactions in the Duffin-Kemmer-Petiau (DKP) formalism are discussed. The conservation of the total angular momentum for spherically symmetric nonminimal potentials is derived from its…

High Energy Physics - Theory · Physics 2015-05-28 L. B. Castro , A. S. de Castro

In this work, we consider the relativistic Duffin-Kemmer-Petiau equation for spin-one particles with a nonminimal vector interaction in the presence of minimal uncertainty in momentum. By using the position space representation we exactly…

Quantum Physics · Physics 2021-02-18 B. Hamil , B. C. Lütfüoğlu , H. Aounallah

The problem of spin-0 and spin-1 bosons in the background of a general mixing of minimal and nonminimal vector inversely linear potentials is explored in a unified way in the context of the Duffin-Kemmer-Petiau theory. It is shown that…

Mathematical Physics · Physics 2015-05-19 A. S. de Castro

We point out a misleading treatment in the recent literature regarding analytical solutions for nonminimal vector interaction for spin-one particles in the context of the Duffin-Kemmer-Petiau (DKP) formalism. In those papers, the authors…

High Energy Physics - Theory · Physics 2014-07-18 Luis B. Castro , Luiz P. de Oliveira

The Duffin-Kemmer-Petiau equation is investigated for spin one bosons with the so-called natural (normal) and unnatural (abnormal) parity states for non-minimal vector interactions. To illustrate the current state of knowledge about the…

Quantum Physics · Physics 2025-09-17 M. Baradaran , L. M. Nieto , L. P. de Oliveira , S. Zarrinkamar

In this paper, we investigate the Duffin-Kemmer-Petiau (DKP) equation for spin-zero system of charge-free particles in the background of a flat class of G\"{o}del-type space-times, and evaluate the individual energy levels and corresponding…

General Relativity and Quantum Cosmology · Physics 2020-03-12 Faizuddin Ahmed , Hassan Hassanabadi

The generalized Duffin-Kemmer-Petiau equation in curved space-time is proposed for non-minimal coupling to the curvature and external fields. The corresponding scalar and vector fields equation are found. Equations are presented, which are…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Yu. V. Pavlov

Vector couplings in the Duffin-Kemmer-Petiau theory are revised. It is shown that minimal and nonminimal vector potentials behave differently under charge-conjugation and time-reversal transformations. In particular, it is shown that…

High Energy Physics - Theory · Physics 2010-01-21 T. R. Cardoso , L. B. Castro , A. S. de Castro

This work re-examines the issue of spin-$1$ particles in a ($2+1$)-dimensional Duffin-Kemmer-Petiau oscillator (DKPO) in the presence of an external magnetic field. By following the appropriate procedure for the spin-$1$ sector of the…

Quantum Physics · Physics 2024-03-22 Andrés G. Jirón , Luis B. Castro , Angel E. Obispo , Antonio S. de Castro

It is shown that the generally covariant Duffin-Kemmer-Petiau equation, formulated in the frame of the Tetrode-Weyl-Fock-Ivanenko tetrad formalism, allows for a non-relativistic approximation if the metric tensor is of a special form. The…

High Energy Physics - Theory · Physics 2011-09-15 A. A. Bogush , V. V. Kisel , N. G. Tokarevskaya , V. M. Red'kov

Generalized uncertainty principle puts forward the existence of the shortest distances and/or maximum momentum at the Planck scale for consideration. In this article, we investigate the solutions of a two-dimensional Duffin-Kemmer-Petiau…

General Physics · Physics 2020-11-05 H. Aounallah , B. C. Lütfüoğlu , J. Kříž

A simple exact analytical solution of the relativistic Duffin-Kemmer-Petiau equation within the framework of the asymptotic iteration method is presented. Exact bound state energy eigenvalues and corresponding eigenfunctions are determined…

Mathematical Physics · Physics 2007-05-23 I. Boztosun , M. Karakoc , F. Yasuk , A. Durmus

The Duffin Kemmer Petiau (DKP) equation is solved approximately for a vector exponential-like decaying potential with any arbitrary J state by using the Pekeris approximation. The generalized parametric Nikiforov-Uvarov (NU) method is used…

Nuclear Theory · Physics 2012-12-11 Sameer M. Ikhdair

In this paper the method of the relativistically-invariant effective tensor representation of Lagrangian decomposition and the amplitudes of the two-photon interaction with hadrons on photon energy is proposed. In the frames…

High Energy Physics - Phenomenology · Physics 2016-12-06 N. V. Maksimenko , E. V. Vakulina

The non-relativistic limit of the linear wave equation for zero and unity spin bosons of mass $m$ in the Duffin-Kemmer-Petiau representation is investigated by means of a unitary transformation, analogous to the Foldy-Wouthuysen canonical…

High Energy Physics - Theory · Physics 2008-11-26 P. Yu. Moshin , J. L. Tomazelli

In this study, we survey the generalized Duffin-Kemmer-Petiau oscillator containing a non-minimal coupling interaction in the context of rainbow gravity in the presence of cosmic topological defects in space-time. In this regard, we intend…

Quantum Physics · Physics 2021-12-20 M. Hosseinpour , H. Hassanabadi , J. Kříž , S. Hassanabadi , B. C. Lütfüoğlu
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