The Experts below are selected from a list of 294 Experts worldwide ranked by ideXlab platform
H. Belich - One of the best experts on this subject based on the ideXlab platform.
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On the Dirac oscillator subject to a Coulomb-Type central potential induced by the Lorentz symmetry violation
The European Physical Journal Plus, 2020Co-Authors: R. L. L. Vitória, H. BelichAbstract:We investigated the relativistic oscillator model for spin-1/2 fermionic fields, known as the Dirac oscillator, in a background of breaking the Lorentz symmetry governed by a constant vector field inserted in the Dirac equation by non-minimal coupling, where we proposed two possible scenarios of Lorentz symmetry violation which induce a Coulomb-Type potential. Thus, in the search for solutions of bound states, we determine, analytically, the relativistic energy profile for the Dirac oscillator, where an interesting quantum effect arises: The frequency of the Dirac oscillator is determined by the quantum numbers of the system and the parameters that characterize the scenarios of Lorentz symmetry violation.
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Effects of the Kaluza–Klein theory on a Klein–Gordon particle with position-dependent mass
Modern Physics Letters A, 2019Co-Authors: E. V. B. Leite, R. L. L. Vitória, H. BelichAbstract:Through the Kaluza–Klein theory, we investigate the quantum dynamics of a Klein–Gordon particle under the Aharonov–Bohm effect for bound states, where it is subject to the linear and Coulomb-Type c...
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On the effects of the Lorentz symmetry violation yielded by a tensor field on the interaction of a scalar particle and a Coulomb-Type field
Annals of Physics, 2018Co-Authors: R. L. L. Vitória, Knut Bakke, H. BelichAbstract:Abstract We analyse the interface between a theory that goes beyond the Standard Model and quantum mechanics. Based on a line of research that deals with the violation of the Lorentz symmetry, where it is assumed that at least one privileged direction in the spacetime, studies have been made in search of a hint of a fundamental theory that goes beyond the energy scale of the Standard Model. This fundamental theory describes a spontaneous breaking of the Lorentz symmetry by a tensor background, which can be considered to be a perturbation. Then, we analyse the interaction of a scalar particle with a Coulomb-Type potential in the presence of a background of the violation of the Lorentz symmetry established by a tensor field.
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A relativistic quantum oscillator subject to a Coulomb-Type potential induced by effects of the violation of the Lorentz symmetry
The European Physical Journal Plus, 2017Co-Authors: R. L. L. Vitória, H. Belich, Knut BakkeAbstract:We consider a background of the violation of the Lorentz symmetry determined by the tensor $(K_{F})_{\mu\nu\alpha\beta}$ which governs the Lorentz symmetry violation out of the Standard Model Extension, where this background gives rise to a Coulomb-Type potential, and then, we analyse its effects on a relativistic quantum oscillator. Furthermore, we analyse the behaviour of the relativistic quantum oscillator under the influence of a linear scalar potential and this background of the Lorentz symmetry violation. We show in both cases that analytical solutions to the Klein-Gordon equation can be achieved.
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Coulomb-Type interaction under Lorentz symmetry breaking effects
Advances in High Energy Physics, 2017Co-Authors: R. L. L. Vitória, H. Belich, Knut BakkeAbstract:Based on models of confinement of quarks, we analyse a relativistic scalar particle subject to a scalar potential proportional to the inverse of the radial distance and under the effects of the violation of the Lorentz symmetry. We show that the effects of the Lorentz symmetry breaking can induced a harmonic-Type potential. Then, we solve the Klein-Gordon equation analytically and discuss the influence of the background of the violation of the Lorentz symmetry on the relativistic energy levels.
Knut Bakke - One of the best experts on this subject based on the ideXlab platform.
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On the effects of the Lorentz symmetry violation yielded by a tensor field on the interaction of a scalar particle and a Coulomb-Type field
Annals of Physics, 2018Co-Authors: R. L. L. Vitória, Knut Bakke, H. BelichAbstract:Abstract We analyse the interface between a theory that goes beyond the Standard Model and quantum mechanics. Based on a line of research that deals with the violation of the Lorentz symmetry, where it is assumed that at least one privileged direction in the spacetime, studies have been made in search of a hint of a fundamental theory that goes beyond the energy scale of the Standard Model. This fundamental theory describes a spontaneous breaking of the Lorentz symmetry by a tensor background, which can be considered to be a perturbation. Then, we analyse the interaction of a scalar particle with a Coulomb-Type potential in the presence of a background of the violation of the Lorentz symmetry established by a tensor field.
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A relativistic quantum oscillator subject to a Coulomb-Type potential induced by effects of the violation of the Lorentz symmetry
The European Physical Journal Plus, 2017Co-Authors: R. L. L. Vitória, H. Belich, Knut BakkeAbstract:We consider a background of the violation of the Lorentz symmetry determined by the tensor $(K_{F})_{\mu\nu\alpha\beta}$ which governs the Lorentz symmetry violation out of the Standard Model Extension, where this background gives rise to a Coulomb-Type potential, and then, we analyse its effects on a relativistic quantum oscillator. Furthermore, we analyse the behaviour of the relativistic quantum oscillator under the influence of a linear scalar potential and this background of the Lorentz symmetry violation. We show in both cases that analytical solutions to the Klein-Gordon equation can be achieved.
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Coulomb-Type interaction under Lorentz symmetry breaking effects
Advances in High Energy Physics, 2017Co-Authors: R. L. L. Vitória, H. Belich, Knut BakkeAbstract:Based on models of confinement of quarks, we analyse a relativistic scalar particle subject to a scalar potential proportional to the inverse of the radial distance and under the effects of the violation of the Lorentz symmetry. We show that the effects of the Lorentz symmetry breaking can induced a harmonic-Type potential. Then, we solve the Klein-Gordon equation analytically and discuss the influence of the background of the violation of the Lorentz symmetry on the relativistic energy levels.
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On the Aharonov-Casher system subject to a Coulomb-Type potential
The European Physical Journal Plus, 2016Co-Authors: P. M. T. Barboza, Knut BakkeAbstract:By considering the confinement of the Aharonov-Casher system to a Coulomb-Type potential, we show that the energy levels depends on the Aharonov-Casher geometric phase and obtain the persistent spin currents. Besides, we investigate the influence of the Coulomb-Type potential on the Landau-Aharonov-Casher system by showing that bound states solutions to the Schrodinger-Pauli equation can be obtained. We show that the Landau-Aharonov-Casher cyclotron frequency is modified and discuss a quantum characterized by the dependence of the angular frequency on the quantum numbers of the system. As a particular case, we calculate the possible values of the angular frequency associated with the ground state.
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On the effects on a Landau-Type system for an atom with no permanent electric dipole moment due to a Coulomb-Type potential
Annals of Physics, 2016Co-Authors: Abinael B. Oliveira, Knut BakkeAbstract:Abstract We analyse the bound states for a Landau-Type system for an atom with no permanent electric dipole moment subject to a Coulomb-Type potential. By comparing the energy levels for bound states of the system with the Landau quantization for an atom with no permanent electric dipole moment (Furtado et al., 2006), we show that the energy levels of the Landau-Type system are modified, where the degeneracy of the energy levels is broken. Another quantum effect investigated is a dependence of the angular frequency of the system on the quantum numbers associated with the radial modes and the angular momentum. As examples, we obtain the angular frequency and the energy levels associated with the ground state and the first excited state of the system.
K Bakke - One of the best experts on this subject based on the ideXlab platform.
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on the interaction of the scalar field with a Coulomb Type potential in a spacetime with a screw dislocation and the aharonov bohm effect for bound states
European Physical Journal Plus, 2018Co-Authors: R. L. L. Vitória, K BakkeAbstract:We investigate topological effects on the interaction of a scalar field with a Coulomb-Type potential in a spacetime with a screw dislocation (space-like dislocation). We also consider the topological defect with an internal magnetic field. Later, we investigate the interaction of a scalar field with a Coulomb-Type potential plus another Coulomb-Type potential (gauge potential), a uniform magnetic field, the Klein-Gordon oscillator and a linear scalar potential in this topological defect spacetime. Then, by searching for analytical solutions to the Klein-Gordon equation in the spacetime with a screw dislocation, we obtain analogues effects of the Aharonov-Bohm effect for bound states.
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on a relativistic scalar particle subject to a Coulomb Type potential given by lorentz symmetry breaking effects
Annals of Physics, 2015Co-Authors: K Bakke, H. BelichAbstract:Abstract The behaviour of a relativistic scalar particle in a possible scenario that arises from the violation of the Lorentz symmetry is investigated. The background of the Lorentz symmetry violation is defined by a tensor field that governs the Lorentz symmetry violation out of the Standard Model Extension. Thereby, we show that a Coulomb-Type potential can be induced by Lorentz symmetry breaking effects and bound states solutions to the Klein–Gordon equation can be obtained. Further, we discuss the effects of this Coulomb-Type potential on the confinement of the relativistic scalar particle to a linear confining potential by showing that bound states solutions to the Klein–Gordon equation can also be achieved, and obtain a quantum effect characterized by the dependence of a parameter of the linear confining potential on the quantum numbers { n , l } of the system.
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quantum aspects of a moving magnetic quadrupole moment interacting with an electric field
Journal of Mathematical Physics, 2015Co-Authors: I C Fonseca, K BakkeAbstract:The quantum dynamics of a moving particle with a magnetic quadrupole moment that interacts with electric and magnetic fields is introduced. By dealing with the interaction between an electric field and the magnetic quadrupole moment, it is shown that an analogue of the Coulomb potential can be generated and bound state solutions can be obtained. Besides, the influence of the Coulomb-Type potential on the harmonic oscillator is investigated, where bound state solutions to both repulsive and attractive Coulomb-Type potentials are achieved and the arising of a quantum effect characterized by the dependence of the harmonic oscillator frequency on the quantum numbers of the system is discussed.
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on a relativistic scalar particle subject to a Coulomb Type potential given by lorentz symmetry breaking effects
arXiv: High Energy Physics - Theory, 2015Co-Authors: K Bakke, H. BelichAbstract:The behaviour of a relativistic scalar particle in a possible scenario that arises from the violation of the Lorentz symmetry is investigated. The background of the Lorentz symmetry violation is defined by a tensor field that governs the Lorentz symmetry violation out of the Standard Model Extension. Thereby, we show that a Coulomb-Type potential can be induced by Lorentz symmetry breaking effects and bound states solutions to the Klein-Gordon equation can be obtained. Further, we discuss the effects of this Coulomb-Type potential on the confinement of the relativistic scalar particle to a linear confining potential by showing that bound states solutions to the Klein-Gordon equation can also be achieved, and obtain a quantum effect characterized by the dependence of a parameter of the linear confining potential on the quantum numbers $\left\{n,l\right\}$ of the system.
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on the klein gordon oscillator subject to a Coulomb Type potential
Annals of Physics, 2015Co-Authors: K Bakke, C FurtadoAbstract:Abstract By introducing the scalar potential as modification in the mass term of the Klein–Gordon equation, the influence of a Coulomb-Type potential on the Klein–Gordon oscillator is investigated. Relativistic bound states solutions are achieved to both attractive and repulsive Coulomb-Type potentials and the arising of a quantum effect characterized by the dependence of angular frequency of the Klein–Gordon oscillator on the quantum numbers of the system is shown.
Erik Skibsted - One of the best experts on this subject based on the ideXlab platform.
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Asymptotic completeness for N-body Stark Hamiltonians
Communications in Mathematical Physics, 1996Co-Authors: Ira Herbst, Jacob Sachach Møller, Erik SkibstedAbstract:We prove asymptotic completeness for short- and long-rangeN-body Stark Hamiltonians with local singularities of at most Coulomb Type. Our results include the usual models for atoms and molecules.
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Asymptotic completeness forN-body Stark Hamiltonians
Communications in Mathematical Physics, 1996Co-Authors: Ira Herbst, Jacob Sachach Møller, Erik SkibstedAbstract:We prove asymptotic completeness for short- and long-range N -body Stark Hamiltonians with local singularities of at most Coulomb Type. Our results include the usual models for atoms and molecules.
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Spectral analysis ofN-body Stark Hamiltonians
Communications in Mathematical Physics, 1995Co-Authors: Ira Herbst, Jacob Schach Møller, Erik SkibstedAbstract:We prove that the spectrum for a large class of N -body Stark Hamiltonians is purely absolutely continuous. We need slow decay at infinity and local singularities of at most Coulomb Type. In particular our results include the usual models for atoms and molecules.
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Spectral analysis of $N$-body Stark Hamiltonians
Communications in Mathematical Physics, 1995Co-Authors: Ira Herbst, Jacob Schach Møller, Erik SkibstedAbstract:We prove that the spectrum for a large class ofN-body Stark Hamiltonians is purely absolutely continuous. We need slow decay at infinity and local singularities of at most Coulomb Type. In particular our results include the usual models for atoms and molecules.
R. L. L. Vitória - One of the best experts on this subject based on the ideXlab platform.
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On the Dirac oscillator subject to a Coulomb-Type central potential induced by the Lorentz symmetry violation
The European Physical Journal Plus, 2020Co-Authors: R. L. L. Vitória, H. BelichAbstract:We investigated the relativistic oscillator model for spin-1/2 fermionic fields, known as the Dirac oscillator, in a background of breaking the Lorentz symmetry governed by a constant vector field inserted in the Dirac equation by non-minimal coupling, where we proposed two possible scenarios of Lorentz symmetry violation which induce a Coulomb-Type potential. Thus, in the search for solutions of bound states, we determine, analytically, the relativistic energy profile for the Dirac oscillator, where an interesting quantum effect arises: The frequency of the Dirac oscillator is determined by the quantum numbers of the system and the parameters that characterize the scenarios of Lorentz symmetry violation.
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Effects of the Kaluza–Klein theory on a Klein–Gordon particle with position-dependent mass
Modern Physics Letters A, 2019Co-Authors: E. V. B. Leite, R. L. L. Vitória, H. BelichAbstract:Through the Kaluza–Klein theory, we investigate the quantum dynamics of a Klein–Gordon particle under the Aharonov–Bohm effect for bound states, where it is subject to the linear and Coulomb-Type c...
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on the interaction of the scalar field with a Coulomb Type potential in a spacetime with a screw dislocation and the aharonov bohm effect for bound states
European Physical Journal Plus, 2018Co-Authors: R. L. L. Vitória, K BakkeAbstract:We investigate topological effects on the interaction of a scalar field with a Coulomb-Type potential in a spacetime with a screw dislocation (space-like dislocation). We also consider the topological defect with an internal magnetic field. Later, we investigate the interaction of a scalar field with a Coulomb-Type potential plus another Coulomb-Type potential (gauge potential), a uniform magnetic field, the Klein-Gordon oscillator and a linear scalar potential in this topological defect spacetime. Then, by searching for analytical solutions to the Klein-Gordon equation in the spacetime with a screw dislocation, we obtain analogues effects of the Aharonov-Bohm effect for bound states.
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On the effects of the Lorentz symmetry violation yielded by a tensor field on the interaction of a scalar particle and a Coulomb-Type field
Annals of Physics, 2018Co-Authors: R. L. L. Vitória, Knut Bakke, H. BelichAbstract:Abstract We analyse the interface between a theory that goes beyond the Standard Model and quantum mechanics. Based on a line of research that deals with the violation of the Lorentz symmetry, where it is assumed that at least one privileged direction in the spacetime, studies have been made in search of a hint of a fundamental theory that goes beyond the energy scale of the Standard Model. This fundamental theory describes a spontaneous breaking of the Lorentz symmetry by a tensor background, which can be considered to be a perturbation. Then, we analyse the interaction of a scalar particle with a Coulomb-Type potential in the presence of a background of the violation of the Lorentz symmetry established by a tensor field.
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A relativistic quantum oscillator subject to a Coulomb-Type potential induced by effects of the violation of the Lorentz symmetry
The European Physical Journal Plus, 2017Co-Authors: R. L. L. Vitória, H. Belich, Knut BakkeAbstract:We consider a background of the violation of the Lorentz symmetry determined by the tensor $(K_{F})_{\mu\nu\alpha\beta}$ which governs the Lorentz symmetry violation out of the Standard Model Extension, where this background gives rise to a Coulomb-Type potential, and then, we analyse its effects on a relativistic quantum oscillator. Furthermore, we analyse the behaviour of the relativistic quantum oscillator under the influence of a linear scalar potential and this background of the Lorentz symmetry violation. We show in both cases that analytical solutions to the Klein-Gordon equation can be achieved.
