scholarly journals К теории электронных состояний эпитаксиального бислоя графена

2019 ◽  
Vol 61 (3) ◽  
pp. 618
Author(s):  
Г.О. Абдуллаев ◽  
З.З. Алисултанов
Keyword(s):  
Energy Spectrum ◽  
Coulomb Potential ◽  
Gate Voltage ◽  
Epitaxial Graphene ◽  
Spontaneous Breaking ◽  
Graphene Bilayer ◽  
A Charge ◽  
Layer Packing ◽  
General Profile

AbstractThe energy spectrum of an epitaxial graphene bilayer is investigated. The most general case of spontaneous breaking of the P symmetry within and between the layers is considered. The influence of the gate voltage on the energy spectrum is studied. It is shown that a general profile of this influence substantially depends on the ratio between bandgaps corresponding to different layers. At a certain value of the Coulomb potential caused by the transition of a charge from the substrate, the bandgap collapses. These studies are carried out for two types of layer packing in the bilayer, namely, the AB and AA packings.

ON A RESULT CONCERNING THE BEHAVIOR OF A RELATIVISTIC QUANTUM SYSTEM IN THE COSMIC STRING SPACETIME

2009 ◽  
Vol 24 (08n09) ◽  
pp. 1549-1556 ◽  
Author(s):  
V. B. BEZERRA ◽  
GEUSA DE A. MARQUES
Keyword(s):  
Magnetic Field ◽  
Energy Spectrum ◽  
Dirac Equation ◽  
Quantum System ◽  
Relativistic Electron ◽  
Coulomb Potential ◽  
Cosmic String ◽  
Relativistic Quantum

We consider the problem of a relativistic electron in the presence of a Coulomb potential and a magnetic field in the background spacetime corresponding to a cosmic string. We find the solution of the corresponding Dirac equation and determine the energy spectrum of the particle.

ENERGETICS AND STABILITY OF DISCRETE CHARGE DISTRIBUTION ON THE SURFACE OF A SPHERE

2001 ◽  
Vol 12 (02) ◽  
pp. 293-305 ◽  
Author(s):  
HÜSEYIN OYMAK ◽  
ŞAKIR ERKOÇ
Keyword(s):  
Energy Distribution ◽  
Coulomb Potential ◽  
Energy State ◽  
Minimum Energy ◽  
Energy Distributions ◽  
Tangential Forces ◽  
Energy Consideration ◽  
Minimum Energy State ◽  
A Charge ◽  
Discrete Charge

We have investigated the minimum-energy distribution of N, 3 ≤ N ≤ 97, equal point charges confined to the surface of a sphere. Charges interact with each other via the Coulomb potential of the form 1/r. Minimum-energy distributions have been determined by minimizing the tangential forces on each charge. Further numerical evidence shows that in the minimum-energy state of N charges on the sphere, it is not possible to place a charge at the geometrical center. Besides, it has been found that the most and reliable information about the relative stability properties of the distributions can be obtained with the help of second difference energy consideration.

On the Charge-Dependent Matrix Element Between the 9.516 MeV 4+ T = 1 Level and the 8.439 MeV 4+ T = 0 Level of 24Mg

1986 ◽  
Vol 41 (8) ◽  
pp. 1031-1033 ◽  
Author(s):  
C. T. Yap ◽  
E. L. Saw
Keyword(s):  
Matrix Element ◽  
Circular Polarization ◽  
Coulomb Potential ◽  
Ground State ◽  
Asymmetry Parameter ◽  
Deformation Parameter ◽  
Recent Measurement ◽  
Polarization Asymmetry ◽  
A Value ◽  
A Charge

A recent measurement of the ß - y circular polarization asymmetry parameter A on the isospinforbidden ß + decay of the ground state of 24Al to the 8.438 MeV 4+ T= 0 state of 24Mg yields a charge-dependent matrix element ⟨ VCD⟩Mg between the 9.516 MeV 4+ T = 1 state and the 8.439 MeV 4+ T = 0 state of 24Mg of (106 ± 40) keV, which is the largest measured value obtained so far in ß decay. Our calculation using Nilsson’s wavefunctions and a spherical Coulomb potential results in a value of 87 keV for ⟨ VCD⟩Mg . Variation of the value of ⟨ VCD⟩Mg against the deformation parameter ß shows that theory agree very well with the measured ⟨ VCD⟩Mg for ß around 0.5.

scholarly journals Exact solutions of the 2D Dunkl–Klein–Gordon equation: The Coulomb potential and the Klein–Gordon oscillator

2021 ◽  
pp. 2150171
Author(s):  
R. D. Mota ◽  
D. Ojeda-Guillén ◽  
M. Salazar-Ramírez ◽  
V. D. Granados
Keyword(s):  
Angular Momentum ◽  
Energy Spectrum ◽  
Exact Solutions ◽  
Coulomb Potential ◽  
Gordon Equation ◽  
Separation Of Variables ◽  
Point Of View ◽  
Algebraic Point ◽  
Klein Gordon ◽  
Klein Gordon Equation

We introduce the Dunkl–Klein–Gordon (DKG) equation in 2D by changing the standard partial derivatives by the Dunkl derivatives in the standard Klein–Gordon (KG) equation. We show that the generalization with Dunkl derivative of the z-component of the angular momentum is what allows the separation of variables of the DKG equation. Then, we compute the energy spectrum and eigenfunctions of the DKG equations for the 2D Coulomb potential and the Klein–Gordon oscillator analytically and from an su(1, 1) algebraic point of view. Finally, we show that if the parameters of the Dunkl derivative vanish, the obtained results suitably reduce to those reported in the literature for these 2D problems.

Solution of the Dirac equation with magnetic monopole and pseudoscalar potentials

Open Physics ◽  
2014 ◽  
Vol 12 (4) ◽  
Author(s):  
Sohrab Aghaei ◽  
Alireza Chenaghlou
Keyword(s):  
Energy Spectrum ◽  
Dirac Equation ◽  
Spherical Harmonics ◽  
Coulomb Potential ◽  
Magnetic Monopole ◽  
Separation Of Variables ◽  
Scalar Potential ◽  
Bohm Potential ◽  
Pseudo Scalar ◽  
Aharonov Bohm

AbstractThe Dirac equation in the presence of the Dirac magnetic monopole potential, the Aharonov-Bohm potential, a Coulomb potential and a pseudo-scalar potential, is solved by separation of variables using the spinweighted spherical harmonics. The energy spectrum and the form of the spinor functions are obtained. It is shown that the number j in spin-weighted spherical harmonics must be greater than $$\left| q \right| - \tfrac{1} {2}$$.

scholarly journals Magnetotransport Properties of Quasi-Free-Standing Epitaxial Graphene Bilayer on SiC: Evidence for Bernal Stacking

Nano Letters ◽  
2011 ◽  
Vol 11 (9) ◽  
pp. 3624-3628 ◽  
Author(s):  
Kayoung Lee ◽  
Seyoung Kim ◽  
M. S. Points ◽  
T. E. Beechem ◽  
Taisuke Ohta ◽  
...  
Keyword(s):  
Epitaxial Graphene ◽  
Graphene Bilayer ◽  
Free Standing ◽  
Bernal Stacking

To the Theory of Electronic States of an Epitaxial Graphene Bilayer

2019 ◽  
Vol 61 (3) ◽  
pp. 488-492
Author(s):  
G. O. Abdullaev ◽  
Z. Z. Alisultanov
Keyword(s):  
Electronic States ◽  
Epitaxial Graphene ◽  
Graphene Bilayer
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