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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

The dynamics of relativistic (scalar and vector) bosons through nonminimal vector square (well and barrier) potentials is studied in the Duffin-Kemmer-Petiau (DKP) formalism. We show that the problem can be mapped in effective Schrodinger…

Quantum Physics · Physics 2016-06-24 Luiz P. de Oliveira

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

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 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

The problem of spin-0 and spin-1 bosons subject to a general mixing of minimal and nonminimal vector cusp potentials is explored in a unified way in the context of the Duffin-Kemmer-Petiau theory. Effects on the bound-state solutions due to…

High Energy Physics - Theory · Physics 2011-01-28 A. S. de Castro

The problem of spin-0 particles subject to a nonminimal vector double-step potential is explored in the context of the Duffin-Kemmer-Petiau theory. Surprisingly, one can never have an incident wave totally reflected and the transmission…

High Energy Physics - Theory · Physics 2015-06-04 L. P. de Oliveira , A. S. de Castro

The quantum dynamics of scalar bosons embedded in the background of a cosmic string is considered. In this work, scalar bosons are described by the Duffin-Kemmer-Petiau (DKP) formalism. In particular, the effects of this topological defect…

High Energy Physics - Theory · Physics 2015-07-01 Luis B. Castro

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

In this study, we investigated the influence of the topological defects space-time with a spiral dislocation on a spin-zero boson field by using the Duffin-Kemmer-Petiau (DKP) equation. To be more specific, we solved the generalized…

High Energy Physics - Theory · Physics 2021-06-11 S. Hassanabadi , S. Zare , B. C. Lütfüoğlu , J. Kříž , H. Hassanabadi

The Aharonov-Bohm (AB) problem for vector bosons by the Duffin-Kemmer-Petiau (DKP) formalism is analyzed. Depending on the values of the spin projection, the relevant eigenvalue equation coming from the DKP formalism reveals an equivalence…

High Energy Physics - Theory · Physics 2017-12-14 Luis B. Castro , Edilberto O. Silva

The noninertial effect of rotating frames on the quantum dynamics of scalar bosons embedded in the background of a cosmic string is considered. In this work, scalar bosons are described by the Duffin--Kemmer--Petiau (DKP) formalism.…

High Energy Physics - Theory · Physics 2016-02-12 Luis B. Castro

In this article, we investigate the behavior of relativistic spin-zero bosons in the space-time generated by a spinning cosmic string. We obtain the generalized beta matrices in terms of the flat spacetime ones and rewrite the covariant…

High Energy Physics - Theory · Physics 2018-12-27 Mansoureh Hosseinpour , Hassan Hassanabadi

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

A few properties of the nonminimal vector interactions in the Duffin-Kemmer-Petiau theory are revised. In particular, it is shown that the space component of the nonminimal vector interaction plays a peremptory role for confining bosons…

High Energy Physics - Theory · Physics 2015-05-13 T. R. Cardoso , L. B. Castro , A. S. de Castro

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

The quantum dynamics of charged scalar bosons in a Bonnor-Melvin-$\Lambda$ universe is considered. In this study, the behavior of charged scalar bosons is explored within the framework of the Duffin-Kemmer-Petiau (DKP) formalism. Adopting a…

General Relativity and Quantum Cosmology · Physics 2024-05-30 Luis B. Castro , Angel E. Obispo , Andrés G. Jirón

A new oscillator model with different form of the non-minimal substitution within the framework of the Duffin-Kemmer-Petiau equation is offered. The model possesses exact solutions and a discrete spectrum of high degeneracy. The distinctive…

High Energy Physics - Theory · Physics 2009-11-11 D. A. Kulikov , R. S. Tutik , A. P. Yaroshenko

The relativistic quantum dynamics of scalar bosons in the background of a full vector coupling (minimal plus nonminimal vector couplings) is explored in the context of the Duffin-Kemmer-Petiau formalism. The Coulomb phase shift is…

High Energy Physics - Theory · Physics 2017-05-18 Luis B. Castro , Luiz P. de Oliveira , Marcelo G. Garcia , Antonio S. de Castro

The Duffin-Kemmer-Petiau formalism with vector and scalar potentials is used to point out a few misconceptions diffused in the literature. It is explicitly shown that the scalar coupling makes the DKP formalism not equivalent to the…

High Energy Physics - Theory · Physics 2010-01-07 T. R. Cardoso , L. B. Castro , A. S. de Castro
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