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].

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.

scholarly journals Electronic Transport Through Double Quantum Dot Coupled to Majorana Bound States and Ferromagnetic Leads

2021 ◽  
Vol 8 ◽  
Author(s):  
Li-Wen Tang ◽  
Wei-Guo Mao
Keyword(s):  
Quantum Dot ◽  
Coupling Strength ◽  
Bound States ◽  
High Efficiency ◽  
Energy Levels ◽  
Electrical Current ◽  
Function Technique ◽  
Double Quantum ◽  
Majorana Bound States ◽  
Double Quantum Dot

We have studied theoretically the properties of electrical current and tunnel magnetoresistance (TMR) through a serially connected double quantum dot (DQD) sandwiched between two ferromagnetic leads by using the nonequilibrium Green’s function technique. We consider that each of the DQD couples to one mode of the Majorana bound states (MBSs) formed at the ends of a topological superconductor nanowire with spin-dependent coupling strength. By adjusting the sign of the spin polarization of dot–MBS coupling strength and the arrangement of magnetic moments of the two leads, the currents’ magnitude can be effectively enhanced or suppressed. Under some conditions, a negative TMR emerges which is useful in detection of the MBSs, a research subject currently under extensive investigations. Moreover, the amplitude of the TMR can be adjusted in a large regime by variation of several system parameters, such as direct hybridization strength between the MBSs or the dots and the positions of the dots’ energy levels. Such tunable currents and TMR may also find use in high-efficiency spintronic devices or information processes.

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.

DIRECT INTERBAND LIGHT ABSORPTION IN A SPHERICAL QUANTUM DOT WITH THE MODIFIED PÖSCHEL-TELLER POTENTIAL

2012 ◽  
Vol 15 ◽  
pp. 204-210 ◽  
Author(s):  
H.KH. TEVOSYAN ◽  
D.B. HAYRAPETYAN ◽  
K.G. DVOYAN ◽  
E.M. KAZARYAN
Keyword(s):  
Quantum Dot ◽  
Energy Levels ◽  
Blue Shift ◽  
Particle Energy ◽  
Confining Potential ◽  
Spherical Quantum Dot ◽  
Absorption Of Light ◽  
Quantum Transitions ◽  
Interband Light Absorption ◽  
Analytical Expressions

The energy levels and direct interband absorption of light in a spherical quantum dot with a modified Pöschel-Teller confining potential are studied. Analytical expressions for the particle energy spectrum and absorption threshold frequencies in the regime of strong size quantization are obtained. Selection rules for quantum transitions are revealed. Red shift and blue shift of absorption threshold has been observed depending on the values of half-width and depth of confining potential, correspondingly.

scholarly journals Effects of a Landau-Type Quantization Induced by the Lorentz Symmetry Violation on a Dirac Field

2020 ◽  
Vol 2020 ◽  
pp. 1-7 ◽  
Author(s):  
R. L. L. Vitória ◽  
H. Belich
Keyword(s):  
Vector Field ◽  
Energy Levels ◽  
Lorentz Symmetry ◽  
Nonrelativistic Limit ◽  
Dirac Field ◽  
Hard Wall ◽  
Symmetry Violation ◽  
Wall Potential ◽  
The Standard Model ◽  
Massive Dirac Field

Inspired by the extension of the Standard Model, we analyzed the effects of the spacetime anisotropies on a massive Dirac field through a nonminimal CPT-odd coupling in the Dirac equation, where we proposed a possible scenario that characterizes the breaking of the Lorentz symmetry which is governed by a background vector field and induces a Landau-type quantization. Then, in order to generalize our system, we introduce a hard-wall potential and, for a particular case, we determine the energy levels in this background. In addition, at the nonrelativistic limit of the system, we investigate the effects of the Lorentz symmetry violation on thermodynamic aspects 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.

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