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The relativistic quantum motion of scalar bosons under the influence of a full vector (minimal $A^{\mu}$ and nonminimal $X^{\mu}$) and scalar ($V_{s}$) interactions embedded in the background of a cosmic string is explored in the context of…

High Energy Physics - Theory · Physics 2020-01-10 Francisco A. Cruz Neto , Franciele M. da Silva , Luis C. N. Santos , Luis B. 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

The relativistic scattering of spin-0 bosons by spherically symmetric Coulomb fields is analyzed in detail with an arbitrary mixing of vector and scalar couplings. It is shown that the partial wave series reduces the scattering amplitude to…

Nuclear Theory · Physics 2015-06-23 M. G. Garcia , A. S. de Castro

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

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

The spinless relativistic Coulomb problem is the bound-state problem for the spinless Salpeter equation (a standard approximation to the Bethe--Salpeter formalism as well as the most simple generalization of the nonrelativistic…

High Energy Physics - Phenomenology · Physics 2008-11-26 Wolfgang Lucha , Franz F. Schöberl

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

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

Quantization in the minisuperspace of non minimal scalar-tensor theories leads to a partial differential equation which is non separable. Through a conformal transformation we can recast the Wheeler-DeWitt equation in an integrable form,…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Julio C. Fabris , Nelson Pinto-Neto , A. F. Velasco

This work studies the relativistic quantum dynamics of scalar bosons in a spacetime containing both a cosmic string and a global monopole within the framework of Rainbow Gravity. An effective metric is constructed to describe the combined…

General Relativity and Quantum Cosmology · Physics 2026-03-02 L. G. Barbosa , J. V. Zamperlini , L. C. N. Santos

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 consider a zero-temperature one-dimensional system of bosons interacting via the soft-shoulder potential in the continuum, typical of dressed Rydberg gases. We employ quantum Monte Carlo simulations, which allow for the exact calculation…

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

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

We analyze the fully relativistic, field-theoretical treatment of the scalar Coulomb problem. We work in a truncated Hilbert-Fock space containing the two-constituent states and the two-constituent-and-one-massless-exchange-particle states.…

High Energy Physics - Phenomenology · Physics 2007-05-23 N. E. Ligterink , B. L. G. Bakker

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

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

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 emergence of random matrix spectral correlations in interacting quantum systems is a defining feature of quantum chaos. We study such correlations in terms of the spectral form factor and its moments in interacting chaotic few- and…

Quantum Physics · Physics 2023-11-27 Felix Fritzsch , Maximilian F. I. Kieler

This paper explores the relativistic quantum motion of scalar bosons in the presence of mixed topological defects: cosmic strings and global monopoles. The Klein-Gordon equation with generalized Coulomb potentials is analyzed in this…

General Relativity and Quantum Cosmology · Physics 2025-05-07 L. G. Barbosa , L. C. N. Santos , J. V. Zamperlini , F. M. da Silva
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