Neutral Particle

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C Furtado - One of the best experts on this subject based on the ideXlab platform.

  • anandan quantum phase for a Neutral Particle with fermi walker reference frame in the cosmic string background
    European Physical Journal C, 2010
    Co-Authors: K Bakke, C Furtado
    Abstract:

    We study geometric quantum phases in the relativistic and non-relativistic quantum dynamics of a Neutral Particle with a permanent magnetic dipole moment interacting with two distinct field configurations in a cosmic string spacetime. We consider the local reference frames of the observers are transported via Fermi–Walker transport and study the influence of the non-inertial effects on the phase shift of the wave function of the Neutral Particle due to the choice of this local frame. We show that the wave function of the Neutral Particle acquires non-dispersive relativistic and non-relativistic quantum geometric phases due to the topology of the spacetime, the interaction between the magnetic dipole moment with external fields and the spin–rotation coupling. However, due to the Fermi–Walker reference frame, no phase shift associated to the Sagnac effect appears in the quantum dynamics of a Neutral Particle. We show that in the absence of topological defect, the contribution to the quantum phase due to the spin–rotation coupling is equivalent to the Mashhoon effect in non-relativistic dynamics.

  • relativistic landau quantization for a Neutral Particle
    Physical Review A, 2009
    Co-Authors: Kristina Bakke, C Furtado
    Abstract:

    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 interacting with an external electric field. We consider the Aharonov-Casher coupling of magnetic dipole to the electric field to investigate an an analog of Landau quantization in this system and solve the Dirac equation for two different field configurations. The eigenfunctions and eigenvalues of Hamiltonian in both cases are obtained.

  • geometric phase for a Neutral Particle in rotating frames in a cosmic string spacetime
    Physical Review D, 2009
    Co-Authors: K Bakke, C Furtado
    Abstract:

    We study of the appearance of geometric quantum phases in the dynamics of a Neutral Particle that possess a permanent magnetic dipole moment in rotating frames in a cosmic string spacetime. The relativistic dynamics of spin-1/2 Particle in this frame is investigated and we obtain several contributions to relativistic geometric phase due rotation and topology of spacetime. We also study the geometric phase in the nonrelativistic limit. We obtain effects analogous to the Sagnac effect and Mashhoon effect in a rotating frame in the background of a cosmic string.

  • landau quantization for a Neutral Particle in the presence of topological defects
    Physical Review D, 2009
    Co-Authors: K Bakke, C Furtado, L R Ribeiro, J R Nascimento
    Abstract:

    In this paper we study the Landau levels in the nonrelativistic dynamics of a Neutral Particle which possesses a permanent magnetic dipole moment interacting with an external electric field in the curved space-time background with the presence or absence of a torsion field. The eigenfunction and eigenvalues of the Hamiltonian are obtained. We show that the presence of the topological defect breaks the infinite degeneracy of the Landau levels arising in this system. We also apply a duality transformation to discuss this same quantization for a dynamics of a Neutral Particle with a permanent electric dipole moment.

  • geometric phase for a Neutral Particle in the presence of a topological defect
    Physical Review D, 2008
    Co-Authors: K Bakke, J R Nascimento, C Furtado
    Abstract:

    In this paper we study the quantum dynamics of a Neutral Particle in the presence of a topological defect. We investigate the appearance of a geometric phase in the relativistic quantum dynamics of a Neutral Particle which possesses permanent magnetic and electric dipole moments in the presence of an electromagnetic field in this curved space-time. The nonrelativistic quantum dynamics are investigated using the Foldy-Wouthuysen expansion. The gravitational Aharonov-Casher and He-McKellar-Wilkens effects are investigated for a series of electric and magnetic field configurations.

K Bakke - One of the best experts on this subject based on the ideXlab platform.

  • on the influence of a rashba type coupling induced by lorentz violating effects on a landau system for a Neutral Particle
    Annals of Physics, 2015
    Co-Authors: K Bakke, H Belich
    Abstract:

    Abstract 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 interacting with a field configuration of crossed electric and magnetic fields. We also discuss the arising of analogues of the Rashba coupling, the Zeeman term and the Darwin term from the Lorentz symmetry breaking effects, and the influence of these terms on the analogue of the Landau system confined to a two-dimensional quantum ring. Finally, we show that this analogy with the Landau system confined to a two-dimensional quantum ring allows us to establish an upper bound for the Lorentz symmetry breaking parameters.

  • relativistic bounds states for a Neutral Particle confined to a parabolic potential induced by noninertial effects
    Physics Letters A, 2010
    Co-Authors: K Bakke
    Abstract:

    Abstract We obtain the solutions of the Dirac equation when the noninertial effects of the Fermi–Walker reference frame break the relativistic Landau–Aharonov–Casher quantization, but they provide bound states in an analogous way to a Dirac Neutral Particle subject to Tan–Inkson quantum dot potential [W.-C. Tan, J.C. Inkson, Semicond. Sci. Technol. 11 (1996) 1635].

  • anandan quantum phase for a Neutral Particle with fermi walker reference frame in the cosmic string background
    European Physical Journal C, 2010
    Co-Authors: K Bakke, C Furtado
    Abstract:

    We study geometric quantum phases in the relativistic and non-relativistic quantum dynamics of a Neutral Particle with a permanent magnetic dipole moment interacting with two distinct field configurations in a cosmic string spacetime. We consider the local reference frames of the observers are transported via Fermi–Walker transport and study the influence of the non-inertial effects on the phase shift of the wave function of the Neutral Particle due to the choice of this local frame. We show that the wave function of the Neutral Particle acquires non-dispersive relativistic and non-relativistic quantum geometric phases due to the topology of the spacetime, the interaction between the magnetic dipole moment with external fields and the spin–rotation coupling. However, due to the Fermi–Walker reference frame, no phase shift associated to the Sagnac effect appears in the quantum dynamics of a Neutral Particle. We show that in the absence of topological defect, the contribution to the quantum phase due to the spin–rotation coupling is equivalent to the Mashhoon effect in non-relativistic dynamics.

  • geometric phase for a Neutral Particle in rotating frames in a cosmic string spacetime
    Physical Review D, 2009
    Co-Authors: K Bakke, C Furtado
    Abstract:

    We study of the appearance of geometric quantum phases in the dynamics of a Neutral Particle that possess a permanent magnetic dipole moment in rotating frames in a cosmic string spacetime. The relativistic dynamics of spin-1/2 Particle in this frame is investigated and we obtain several contributions to relativistic geometric phase due rotation and topology of spacetime. We also study the geometric phase in the nonrelativistic limit. We obtain effects analogous to the Sagnac effect and Mashhoon effect in a rotating frame in the background of a cosmic string.

  • landau quantization for a Neutral Particle in the presence of topological defects
    Physical Review D, 2009
    Co-Authors: K Bakke, C Furtado, L R Ribeiro, J R Nascimento
    Abstract:

    In this paper we study the Landau levels in the nonrelativistic dynamics of a Neutral Particle which possesses a permanent magnetic dipole moment interacting with an external electric field in the curved space-time background with the presence or absence of a torsion field. The eigenfunction and eigenvalues of the Hamiltonian are obtained. We show that the presence of the topological defect breaks the infinite degeneracy of the Landau levels arising in this system. We also apply a duality transformation to discuss this same quantization for a dynamics of a Neutral Particle with a permanent electric dipole moment.

J R Nascimento - One of the best experts on this subject based on the ideXlab platform.

  • landau quantization for a Neutral Particle in the presence of topological defects
    Physical Review D, 2009
    Co-Authors: K Bakke, C Furtado, L R Ribeiro, J R Nascimento
    Abstract:

    In this paper we study the Landau levels in the nonrelativistic dynamics of a Neutral Particle which possesses a permanent magnetic dipole moment interacting with an external electric field in the curved space-time background with the presence or absence of a torsion field. The eigenfunction and eigenvalues of the Hamiltonian are obtained. We show that the presence of the topological defect breaks the infinite degeneracy of the Landau levels arising in this system. We also apply a duality transformation to discuss this same quantization for a dynamics of a Neutral Particle with a permanent electric dipole moment.

  • geometric phase for a Neutral Particle in the presence of a topological defect
    Physical Review D, 2008
    Co-Authors: K Bakke, J R Nascimento, C Furtado
    Abstract:

    In this paper we study the quantum dynamics of a Neutral Particle in the presence of a topological defect. We investigate the appearance of a geometric phase in the relativistic quantum dynamics of a Neutral Particle which possesses permanent magnetic and electric dipole moments in the presence of an electromagnetic field in this curved space-time. The nonrelativistic quantum dynamics are investigated using the Foldy-Wouthuysen expansion. The gravitational Aharonov-Casher and He-McKellar-Wilkens effects are investigated for a series of electric and magnetic field configurations.

Mansoureh Hosseinpour - One of the best experts on this subject based on the ideXlab platform.

Edilberto O Silva - One of the best experts on this subject based on the ideXlab platform.

  • scattering and bound states of a spin 1 2 Neutral Particle in the cosmic string spacetime
    Advances in High Energy Physics, 2017
    Co-Authors: Fabiano M Andrade, Cleverson Filgueiras, Edilberto O Silva
    Abstract:

    In this paper the relativistic quantum dynamics of a spin-1/2 Neutral Particle with a magnetic moment in the cosmic string spacetime is reexamined by applying the von Neumann theory of self-adjoint extensions. Contrary to previous studies where the interaction between the spin and the line of charge is neglected, here we consider its effects. This interaction gives rise to a point interaction: . Due to the presence of the Dirac delta function, by applying an appropriated boundary condition provided by the theory of self-adjoint extensions, irregular solutions for the Hamiltonian are allowed. We address the scattering problem obtaining the phase shift, -matrix, and the scattering amplitude. The scattering amplitude obtained shows a dependency with energy which stems from the fact that the helicity is not conserved in this system. Examining the poles of the -matrix we obtain an expression for the bound states. The presence of bound states for this system has not been discussed before in the literature.