A comment on the analogous confinement of a neutral particle to a quantum dot via noninertial effects

Open Physics ◽  
2012 ◽  
Vol 10 (5) ◽  
Author(s):  
Knut Bakke
Keyword(s):  
Quantum Dot ◽  
Bound States ◽  
Neutral Particle ◽  
Nonrelativistic Limit ◽  
Hard Wall ◽  
External Fields ◽  
Confining Potential ◽  
Permanent Electric Dipole Moment ◽  
Noninertial Effects

AbstractIn this contribution, we discuss the nonrelativistic limit of the Dirac equation for a neutral particle with a permanent electric dipole moment interacting with external fields in a noninertial frame. We show a case where the geometry of the manifold can play the role of a hard-wall confining potential due to noninertial effects, and can yield bound states analogous to a confinement of the spin-half neutral particle interacting with external fields to a quantum dot described by a hard-wall confining potential [33].

On noninertial effects inducing a confinement of a neutral particle to a hard-wall confining potential

Open Physics ◽  
2013 ◽  
Vol 11 (11) ◽  
Author(s):  
Knut Bakke
Keyword(s):  
Bound States ◽  
Magnetic Dipole Moment ◽  
Neutral Particle ◽  
Energy Levels ◽  
Bound State ◽  
Field Configuration ◽  
Hard Wall ◽  
Confining Potential ◽  
Noninertial Effects

AbstractIn this contribution, we discuss the confinement of a nonrelativistic spin-half neutral particle to a hard-wall confining potential induced by noninertial effects. We show that the geometry of the manifold plays the role of a hard-wall confining potential and yields bound state solutions. We also consider a neutral particle with a permanent magnetic dipole moment interacting with a field configuration induced by noninertial effects, and discuss the behaviour of the induced fields and obtain energy levels for bound states.

CONFINEMENT OF A DIRAC PARTICLE TO A HARD-WALL CONFINING POTENTIAL INDUCED BY NONINERTIAL EFFECTS

2012 ◽  
Vol 27 (03) ◽  
pp. 1350018 ◽  
Author(s):  
K. BAKKE
Keyword(s):  
Quantum Dot ◽  
Bound States ◽  
Energy Levels ◽  
Minkowski Spacetime ◽  
Nonrelativistic Limit ◽  
Dirac Particle ◽  
Hard Wall ◽  
Spin Particle ◽  
Confining Potential ◽  
Noninertial Effects

In this contribution, we discuss the influence of noninertial effects on a Dirac particle in the Minkowski spacetime by showing that the geometry of the manifold can play the role of a hard-wall confining potential. Thus, we discuss a limit case where the relativistic bound states can be achieved in analogous way to having a Dirac particle confined to a quantum dot. We discuss the application of this mathematical model in studies of noninertial effects on condensed matter systems described by the Dirac equation, and compare the nonrelativistic limit of the energy levels with the spectrum of energy of a spin-½ particle confined to a quantum dot [E. Tsitsishvili et al., Phys. Rev. B70 (2004) 115316].

On the Landau system for an atom with no permanent electric dipole moment subject to a linear confining potential

2016 ◽  
Vol 31 (06) ◽  
pp. 1650019 ◽  
Author(s):  
Abinael B. Oliveira ◽  
Knut Bakke
Keyword(s):  
Dipole Moment ◽  
Electric Dipole Moment ◽  
Electric Dipole ◽  
Bound States ◽  
Quantum Effect ◽  
Energy Levels ◽  
Type System ◽  
Angular Frequency ◽  
Confining Potential ◽  
Permanent Electric Dipole Moment

Bound states are analyzed in a Landau-type system for an atom with no permanent electric dipole moment under the influence of a linear confining potential. We show that the spectrum of energy of the Landau-type system is modified and the degeneracy of the energy levels is broken. Besides, another quantum effect observed in this analysis is the dependence of the angular frequency of the system on the quantum numbers associated with the radial modes and the angular momentum, whose meaning is that only specific values of the angular frequency are allowed in order that bound states solutions can be achieved. As an example, we obtain the angular frequency associated with the ground state of the system.

scholarly journals On an electron in an elastic medium with a spiral dislocation

2019 ◽  
Vol 34 (27) ◽  
pp. 1950153 ◽  
Author(s):  
A. V. D. M. Maia ◽  
K. Bakke
Keyword(s):  
Magnetic Field ◽  
Electric Field ◽  
Elastic Medium ◽  
Bound States ◽  
Axial Magnetic Field ◽  
Radial Electric Field ◽  
Hard Wall ◽  
Confining Potential ◽  
Bohm Effect ◽  
Aharonov Bohm

Topological effects of a spiral dislocation on an electron are investigated when it is confined to a hard-wall confining potential. Besides, the influence of the topology of the spiral dislocation on the interaction of the electron with a nonuniform radial electric field and a uniform axial magnetic field is analyzed. It is shown that the spectrum of energy can be obtained in all these cases. Moreover, it is shown that there is one case where an analog of the Aharonov–Bohm effect for bound states is yielded by the topology of the spiral dislocation.

ON THE INFLUENCE OF CURVATURE ON THE LANDAU–HE–MCKELLAR–WILKENS QUANTIZATION INDUCED BY NONINERTIAL EFFECTS

2011 ◽  
Vol 26 (24) ◽  
pp. 4239-4249 ◽  
Author(s):  
KNUT BAKKE
Keyword(s):  
Dipole Moment ◽  
Reference Frame ◽  
Electric Dipole Moment ◽  
Electric Dipole ◽  
Neutral Particle ◽  
Field Configuration ◽  
Permanent Electric Dipole Moment ◽  
Noninertial Effects

We consider a neutral particle with permanent electric dipole moment interacting with a field configuration induced by the noninertial effects of the Fermi–Walker reference frame in the presence of a disclination and discuss the influence of curvature on the Landau–He–McKellar–Wilkens quantization.

scholarly journals Topological isoconductance signatures in Majorana nanowires

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
L. S. Ricco ◽  
J. E. Sanches ◽  
Y. Marques ◽  
M. de Souza ◽  
M. S. Figueira ◽  
...  
Keyword(s):  
Quantum Dot ◽  
Transport Properties ◽  
Spin Polarization ◽  
Bound States ◽  
Spin Asymmetry ◽  
Experimental Protocol ◽  
Zero Bias ◽  
Topological Superconductor ◽  
Hybrid Device ◽  
Majorana Bound States

AbstractWe consider transport properties of a hybrid device composed by a quantum dot placed between normal and superconducting reservoirs, and coupled to a Majorana nanowire: a topological superconducting segment hosting Majorana bound states (MBSs) at the opposite ends. It is demonstrated that if highly nonlocal and nonoverlapping MBSs are formed in the system, the zero-bias Andreev conductance through the dot exhibits characteristic isoconductance profiles with the shape depending on the spin asymmetry of the coupling between the dot and the topological superconductor. Otherwise, for overlapping MBSs with less degree of nonlocality, the conductance is insensitive to the spin polarization and the isoconductance signatures disappear. This allows to propose an alternative experimental protocol for probing the nonlocality of the MBSs in Majorana nanowires.

scholarly journals Dark matter candidates in a type-II radiative neutrino mass model

2021 ◽  
Vol 2021 (6) ◽  
Author(s):  
Roberto A. Lineros ◽  
Mathias Pierre
Keyword(s):  
Dark Matter ◽  
Neutral Particle ◽  
Matter Density ◽  
Indirect Detection ◽  
Dark Matter Candidate ◽  
Neutrino Masses ◽  
Type Ii ◽  
Mass Model ◽  
Direct And Indirect Detection

Abstract We explore the connection between Dark Matter and neutrinos in a model inspired by radiative Type-II seessaw and scotogenic scenarios. In our model, we introduce new electroweakly charged states (scalars and a vector-like fermion) and impose a discrete ℤ2 symmetry. Neutrino masses are generated at the loop level and the lightest ℤ2-odd neutral particle is stable and it can play the role of a Dark Matter candidate. We perform a numerical analysis of the model showing that neutrino masses and flavour structure can be reproduced in addition to the correct dark matter density, with viable DM masses from 700 GeV to 30 TeV. We explore direct and indirect detection signatures and show interesting detection prospects by CTA, Darwin and KM3Net and highlight the complementarity between these observables.

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