80 citations · 901 across the 25 of their papers we have counts for
25 papers
Aharonov-Bohm effect for bound states in the cosmic string spacetime in the context of rainbow gravity
K. Bakke, H. Mota
We explore a scenario of the general relativity determined by the framework of the rainbow gravity with the purpose of searching for analogues of the Aharonov-Bohm effect. By focus…
Effects of rotation in the spacetime with a distortion of a vertical line into a vertical spiral
K. Bakke
It is investigated the effects of rotation on the scalar field in the spacetime with the distortion of a vertical line into a vertical spiral. By analysing the upper limit of the r…
Topological and rotating effects on the Dirac field in the spiral dislocation spacetime
A. V. D. M. Maia, K. Bakke
By considering a spacetime with a spiral dislocation, we analyse the behaviour of the Dirac field subject to a hard-wall confining potential. In search of relativistic bound states…
A doubly anharmonic oscillator in an induced electric dipole system
K. Bakke, C. Salvador
The behaviour of the interaction of the induced electric dipole moment of an atom with a uniform magnetic field and a non-uniform electric field are investigated in a rotating refe…
A semiclassical treatment of the interaction of non-uniform electric fields with the electric quadrupole moment of a neutral particle
K. Bakke
By applying the WKB (Wentzel, Kramers, Brillouin) approximation, we analyse the interaction of the electric quadrupole moment of a neutral particle with radial electric fields prod…
Linear confinement of a scalar particle in a Gödel-type spacetime
R. L. L. Vitória, C. Furtado, K. Bakke
Based on the studies of confinement of quarks, we introduce a linear scalar potential into the relativistic quantum dynamics of a scalar particle. Then, we analyse the linear confi…
On the Majorana fermion subject to a linear confinement
R. F. Ribeiro, K. Bakke
We analyse the linear confinement of a Majorana fermion in -dimensions. We show that the Dirac equation can be solved analytically. Besides, we show that the spec…
Noninertial effects on nonrelativistic topological quantum scattering
H. F. Mota, K. Bakke
We investigate noninertial effects on the scattering problem of a nonrelativistic particle in the cosmic string spacetime. By considering the nonrelativistic limit of the Dirac equ…
A relativistic quantum oscillator subject to a Coulomb-type potential induced by effects of the violation of the Lorentz symmetry
R. L. L. Vitória, H. Belich, K. Bakke
We consider a background of the violation of the Lorentz symmetry determined by the tensor which governs the Lorentz symmetry violation out of the Stan…
Scalar Casimir effect in a high-dimensional cosmic dispiration spacetime
H. F. Mota, E. R. Bezerra de Mello, K. Bakke
In this paper we present a complete and detailed analysis of the calculation of both the Wightman function and the vacuum expectation value of the energy-momentum tensor that arise…
Torsion effects on a relativistic position-dependent mass system
R. L. L. Vitória, K. Bakke
We analyse a relativistic scalar particle with a position-dependent mass in a spacetime with a space-like dislocation by showing that relativistic bound states solutions can be ach…
A Landau-type quantization from a Lorentz symmetry violation background with crossed electric and magnetic fields
K. Bakke, H. Belich
We investigate the arising of an analogue of the Landau quantization from a background of the violation of the Lorentz symmetry established by a time-like 4-vector and a field conf…
An angular frequency dependence on the Aharonov-Casher geometric phase
P. M. T. Barboza, K. Bakke
A quantum effect characterized by a dependence of the angular frequency associated with the confinement of a neutral particle to a quantum ring on the quantum numbers of the system…
Wigner rotation via Fermi-Walker transport and relativistic EPR correlations in the Schwarzschild spacetime
K. Bakke, C. Furtado, A. M. de M. Carvalho
The Wigner rotation angle for a particle in a circular motion in the Schwarzschild spacetime is obtained via the Fermi-Walker transport of spinors. Then, by applying the WKB approx…
On the influence of a Rashba-type coupling induced by Lorentz-violating effects on a Landau system for a neutral particle
K. Bakke, H. Belich
We study a possible scenario of the Lorentz symmetry violation background that allows us to build an analogue of the Landau system for a nonrelativistic Dirac neutral particle inte…
Geometric quantum phases from Lorentz symmetry breaking effects in the cosmic string spacetime
H. Belich, K. Bakke
By starting from the modified Maxwell theory coupled to gravity, the arising of geometric quantum phases in the relativistic and nonrelativistic quantum dynamics of a Dirac neutral…
Quantum Holonomies based on the Lorentz-violating tensor background
K. Bakke, H. Belich
We study geometric quantum phases corresponding to analogues of the Anandan quantum phase [J. Anandan, Phys. Lett. A {\bf138}, 347 (1989)] based on a possible scenario of the Loren…
On the influence of a Coulomb-like potential induced by the Lorentz symmetry breaking effects on the Harmonic Oscillator
Knut Bakke, Humberto Belich
In this work, we obtain bound states for a nonrelativistic spin-half neutral particle under the influence of a Coulomb-like potential induced by the Lorentz symmetry breaking effec…
Abelian geometric phase for a Dirac neutral particle in a Lorentz symmetry violation environment
K. Bakke, H. Belich
We introduce a new term into the Dirac equation based on the Lorentz symmetry violation background in order to make a theoretical description of the relativistic quantum dynamics o…
He-McKellar-Wilkens effect and Scalar Aharonov-Bohm effect for a neutral particle based on the Lorentz symmetry violation
K. Bakke, E. O. Silva, H. Belich
In this contribution, we discuss the He-McKellar-Wilkens effect and the Scalar Aharonov-Bohm effect for neutral particles based on the Lorentz symmetry violation background, by sho…
Kaluza-Klein description of geometric phases in graphene
K. Bakke, A. Yu. Petrov, C. Furtado
In this paper, we use the Kaluza-Klein approach to describe topological defects in a graphene layer. Using this approach, we propose a geometric model allowing to discuss the quant…
On the confinement of a quantum particle to a two-dimensional ring in systems described by the Dirac equation
K. Bakke, Claudio Furtado
In this contribution, we propose a new model for studying the confinement of a spin-half particle to a two-dimensional quantum ring in systems described by the Dirac equation by in…
Relativistic Landau quantization for a neutral particle
K. Bakke, C. Furtado
In this contribution we study the Landau levels arising within the relativistic quantum dynamics of a neutral particle which possesses a permanent magnetic dipole moment interactin…
Landau quantization for a neutral particle in presence of topological defects
K. Bakke, L. R. Ribeiro, C. Furtado +1
In this paper we study the Landau levels in the non-relativistic dynamics of a neutral particle which possesses a permanent magnetic dipole moment interacting with an external elec…