scholarly journals Modeling of circular quantum dots localized in double heterostructures

2021 ◽  
Vol 65 (1) ◽  
pp. 33-39
Author(s):  
V. V. Kudryashov ◽  
A. V. Baran
Keyword(s):  
Quantum Dots ◽  
Energy Spectrum ◽  
Energy Levels ◽  
Finite Depth ◽  
Wave Functions ◽  
Axially Symmetric ◽  
Confinement Potential ◽  
Double Heterostructures ◽  
New Type ◽  
Potential Parameters

The circular quantum dots localized in the double heterostructures are simulated by means of the axially symmetric smooth confinement potential of finite depth. For the proposed potential of new type, the exact wave functions and the energy levels of electron are found. The dependence of energy spectrum on potential parameters is investigated.

scholarly journals Energy levels of an electron in a circular quantum dot in the presence of spin-orbit interactions

Doklady BGUIR ◽  
2022 ◽  
Vol 19 (8) ◽  
pp. 20-25
Author(s):  
A. V. Baran ◽  
V. V. Kudryashov
Keyword(s):  
Quantum Dot ◽  
Energy Levels ◽  
Approximate Expression ◽  
Finite Depth ◽  
Energy Splitting ◽  
Spin Orbit ◽  
Axially Symmetric ◽  
The Individual ◽  
Spin Orbit Interactions ◽  
Potential Parameters

The two-dimensional circular quantum dot in a double semiconductor heterostructure is simulated by a new axially symmetric smooth potential of finite depth and width. The presence of additional potential parameters in this model allows us to describe the individual properties of different kinds of quantum dots. The influence of the Rashba and Dresselhaus spin-orbit interactions on electron states in quantum dot is investigated. The total Hamiltonian of the problem is written as a sum of unperturbed part and perturbation. First, the exact solution of the unperturbed Schrödinger equation was constructed. Each energy level of the unperturbed Hamiltonian was doubly degenerated. Further, the analytical approximate expression for energy splitting was obtained within the framework of perturbation theory, when the strengths of two spin-orbit interactions are close. The numerical results show the dependence of energy levels on potential parameters.

scholarly journals Three-Dimensional Dirac Oscillator with Minimal Length: Novel Phenomena for Quantized Energy

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Malika Betrouche ◽  
Mustapha Maamache ◽  
Jeong Ryeol Choi
Keyword(s):  
Energy Spectrum ◽  
Energy Levels ◽  
Three Dimensional ◽  
Nonrelativistic Limit ◽  
Minimal Length ◽  
Wave Functions ◽  
Dirac Oscillator ◽  
Planck Length ◽  
Standard Case ◽  
Small Parameters

We study quantum features of the Dirac oscillator under the condition that the position and the momentum operators obey generalized commutationrelations that lead to the appearance of minimal length with the order of the Planck length,∆xmin=ℏ3β+β′, whereβandβ′are two positive small parameters. Wave functions of the system and the corresponding energy spectrum are derived rigorously. The presence of the minimal length accompanies a quadratic dependence of the energy spectrum on quantum numbern, implying the property of hard confinement of the system. It is shown that the infinite degeneracy of energy levels appearing in the usual Dirac oscillator is vanished by the presence of the minimal length so long asβ≠0. Not only in the nonrelativistic limit but also in the limit of the standard case(β=β′=0), our results reduce to well known usual ones.

Gamma-rigid regime of the Bohr–Mottelson Hamiltonian in energy-dependent approach

2016 ◽  
Vol 25 (10) ◽  
pp. 1650087 ◽  
Author(s):  
M. Alimohammadi ◽  
H. Hassanabadi
Keyword(s):  
Wave Function ◽  
Energy Spectrum ◽  
Density Distribution ◽  
Probability Density ◽  
Energy Levels ◽  
Coulomb Energy ◽  
Probability Density Distribution ◽  
Transition Rates ◽  
Energy Dependent ◽  
Potential Parameters

We determine the energy spectrum and wave function for the Bohr–Mottelson Hamiltonian on [Formula: see text]-rigid regime separately with the harmonic and Coulomb energy-dependent potentials. We study the effect of potential parameters on the energy levels and probability density distribution. The transition rates are determined in each case.

scholarly journals Magnetocaloric Effect in an Antidot : The Effect of the Aharonov-Bohm Flux and Antidot Radius

2018 ◽  
Author(s):  
Oscar A. Negrete ◽  
Francisco J. Peña ◽  
Patricio Vargas
Keyword(s):  
Quantum Dots ◽  
Quantum Dot ◽  
Magnetocaloric Effect ◽  
Control Parameter ◽  
Energy Levels ◽  
Oscillatory Behaviour ◽  
Confinement Potential ◽  
Parabolic Confinement ◽  
Parabolic Confinement Potential ◽  
Aharonov Bohm

In this work, we report the magnetocaloric effect (MCE) in a quantum dot corresponding to an electron interacting with an antidot, under the effect of an Aharonov-Bohm flux subjected to a parabolic confinement potential. We use the Bogachek and Landman model, which additionally allows the study of quantum dots with Fock-Darwin energy levels for vanishing antidot radius and flux. We find that the Aharonov-Bohm flux (AB-flux) strongly controls the oscillatory behaviour of the MCE, thus acting as a control parameter for the cooling or heating of the magnetocaloric effect. We propose a way to detect AB-flux by measuring temperature differences.

scholarly journals MATLAB Wavelet analysis of electron energy spectrum in one-dimensional quantum well with infinitely high walls for Al-Ga-As system (0 < x < 1)

2021 ◽  
Vol 2056 (1) ◽  
pp. 012025
Author(s):  
E R Kozhanova ◽  
I M Tkachenko ◽  
V V Belyaev ◽  
S Maignan
Keyword(s):  
Energy Spectrum ◽  
Quantum Well ◽  
Energy Levels ◽  
Electronic States ◽  
Semiconductor Nanostructures ◽  
Electron Energy Spectrum ◽  
Wave Functions ◽  
Quantum Energy ◽  
One Dimensional ◽  
Analysis Of Results

Abstract This paper presents calculations of electronic states in AlxGa1-x As semiconductor nanostructures and simulates the envelope wave functions of quantum energy levels in a one-dimensional quantum well with infinitely high walls of a given width at various values of x. For the analysis of results the authors choose the function wtmm from the Matlab library that fixes the extremums and which is a characteristic of the fractality of the envelope wave functions of quantum energy levels.

RESONANCES ATTACHED TO THE SINGULARITIES OF THE FUNCTION COUPLING TWO SIMPLE SYSTEMS TO A FIELD

2008 ◽  
Vol 23 (07) ◽  
pp. 1039-1054 ◽  
Author(s):  
CLAUDE BILLIONNET
Keyword(s):  
Energy Levels ◽  
Free Field ◽  
Finite Depth ◽  
Wave Functions ◽  
Compton Wavelength ◽  
Two Systems ◽  
Whole Space ◽  
Square Well ◽  
Simple Systems ◽  
The Way

We examine resonances for two systems consisting of a particle coupled to a massless boson's field. The field is the free field in the whole space. In the first system, the particle is confined inside a ball. We show that besides the usual energy levels of the particle, which have become complex through the coupling to the field, other resonances are to be taken into account if the ball's radius is comparable to the particle's Compton wavelength. In the second system, the particle is in a finite-depth square-well potential. We study the way the resonances' energy and width depend on the extent of the uncoupled particle's wave functions. In both cases, we limit ourselves to considering two levels of the particle only.

NEW TYPE SHIFT OPERATORS FOR THREE-DIMENSIONAL INFINITE WELL POTENTIAL

2011 ◽  
Vol 26 (05) ◽  
pp. 351-358 ◽  
Author(s):  
GUO-HUA SUN ◽  
SHI-HAI DONG
Keyword(s):  
Energy Spectrum ◽  
Three Dimensional ◽  
Quantum Systems ◽  
Wave Functions ◽  
Shift Operators ◽  
New Type ◽  
Type Shift

New type shift operators for three-dimensional infinite well potential are identified to connect those quantum systems with different radials R but with the same energy spectrum. It should be pointed out that these shift operators depend on all variables contained in wave functions. Thus they establish a novel relation between wave functions ψlm(r) and ψ(l±1)(m±1)(r).

Effect of gravity and electromagnetic field on the spectra of cylindrical quantum dots together with AB flux field

2020 ◽  
Vol 35 (12) ◽  
pp. 2050092
Author(s):  
B. Tchana Mbadjoun ◽  
J. M. Ema’a Ema’a ◽  
P. Ele Abiama ◽  
G. H. Ben-Bolie ◽  
P. Owono Ateba
Keyword(s):  
Quantum Dots ◽  
Electromagnetic Field ◽  
Optical Absorption ◽  
Energy Levels ◽  
Spherical Shape ◽  
Wave Functions ◽  
Optical Absorption Coefficient ◽  
Electron Quantum ◽  
Uvarov Method ◽  
Aharonov Bohm

In this work, we study the spectral properties of electron quantum dots (QDs) confined in 2D parabolic harmonic oscillator influenced by gravity, external uniform electromagnetic field together with an Aharonov–Bohm (AB) flux field. Our calculations are based on the Nikiforov–Uvarov method and we obtain exact solutions for the energy levels and normalized wave functions. The interband optical absorption QDs of the parabolic spherical shape in GaAs is studied theoretically and the total optical absorption coefficient has been calculated by using the energy eigenvalues spectra and the corresponding wave functions.

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