scholarly journals Direct Interband Light Absorption in Conical Quantum Dot

2015 ◽  
Vol 2015 ◽  
pp. 1-6 ◽  
Author(s):  
D. B. Hayrapetyan ◽  
A. V. Chalyan ◽  
E. M. Kazaryan ◽  
H. A. Sarkisyan
Keyword(s):  
Quantum Dot ◽  
Quantum Number ◽  
Light Absorption ◽  
Principal Quantum Number ◽  
Particle Energy ◽  
Geometrical Parameters ◽  
Quantum Numbers ◽  
Direct Light ◽  
Interband Light Absorption ◽  
Analytical Expressions

In the framework of the adiabatic approximation, the energy states of electron as well as the direct light absorption are investigated in conical quantum dot. Analytical expressions for particle energy spectrum are obtained. The dependence of the absorption edge on geometrical parameters of conical quantum dot is obtained. Selection rules are revealed for transitions between levels with different quantum numbers. In particular, it is shown that for the radial quantum number transitions are allowed between the levels with the same quantum numbers, and any transitions between different levels are allowed for the principal quantum number.

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 Fisher Information of Free-Electron Landau States

Entropy ◽  
2021 ◽  
Vol 23 (3) ◽  
pp. 268
Author(s):  
Takuya Yamano
Keyword(s):  
Quantum Number ◽  
Fisher Information ◽  
Free Electron ◽  
Principal Quantum Number ◽  
Energy Levels ◽  
Laguerre Polynomials ◽  
Polar Coordinates ◽  
Quantum Numbers ◽  
Lowest Landau Level ◽  
Cylindrical Polar Coordinates

An electron in a constant magnetic field has energy levels, known as the Landau levels. One can obtain the corresponding radial wavefunction of free-electron Landau states in cylindrical polar coordinates. However, this system has not been explored so far in terms of an information-theoretical viewpoint. Here, we focus on Fisher information associated with these Landau states specified by the two quantum numbers. Fisher information provides a useful measure of the electronic structure in quantum systems, such as hydrogen-like atoms and under some potentials. By numerically evaluating the generalized Laguerre polynomials in the radial densities, we report that Fisher information increases linearly with the principal quantum number that specifies energy levels, but decreases monotonically with the azimuthal quantum number m. We also present relative Fisher information of the Landau states against the reference density with m=0, which is proportional to the principal quantum number. We compare it with the case when the lowest Landau level state is set as the reference.

scholarly journals Coefficient of Interband Light Absorption by InAs/GaхIn1-хAs Quantum Dot Superlattice at Low Temperatures

2017 ◽  
Vol 18 (2) ◽  
pp. 151-157
Author(s):  
V.I. Boichuk ◽  
I.V. Bilynsky ◽  
R.I. Pazyuk
Keyword(s):  
Quantum Dots ◽  
Quantum Dot ◽  
Absorption Coefficient ◽  
Light Absorption ◽  
Low Temperatures ◽  
Dispersion Relations ◽  
Interband Absorption ◽  
Absorption Bands ◽  
Interband Light Absorption

In the paper the InAs/GaxIn1-xAs superlattice system of small size cubic QDs (10 nm) has been considered. Dispersion relations for electron and hole subbands have been calculated for superlattices of different dimensionality. The dependences of the interband absorption coefficient on light frequency, quantum dot size and interdot distance have been researched.It is shown, that the dimension of the superlattice has influence on the shape of the absorption bands and the increasingof the distance between quantum dots is followed by narrowing of the absorption peaks for all three superlatticetypes.

On the Possible Electronic Structure of Atoms in a Space of Higher Dimension

2018 ◽  
pp. 222-238
Keyword(s):  
Schrödinger Equation ◽  
Quantum Number ◽  
Schrodinger Equation ◽  
Dimensional Space ◽  
Principal Quantum Number ◽  
Higher Dimension ◽  
Quantum Numbers ◽  
Spin Quantum ◽  
Spin Quantum Number ◽  
Quantum Cells

It is shown that the stationary Schrödinger equation describing the distribution of electrons in the vicinity of the atomic nucleus has a solution, in principle, for any dimensionality of the space around the nucleus. As an example, a solution of the Schrödinger equation in a five - dimensional space is obtained. It is shown that the solution of the Schrödinger equation in p - dimensional space has p quantum numbers: the principal quantum number, the orbital quantum number and p - 2 magnetic quantum numbers. Taking into account the spin quantum number, the total number of quantum numbers in p - dimensional space is p + 1. This leads to the possibility of increasing the number of quantum cells of orbitals and, consequently, to the possibility of increasing the valence of the elements.

scholarly journals Landau-level quantization of the yellow excitons in cuprous oxide

2018 ◽  
Vol 60 (8) ◽  
pp. 1585
Author(s):  
J. Heckotter ◽  
J. Thewes ◽  
D. Frohlich ◽  
M. Abmann ◽  
M. Bayer
Keyword(s):  
Magnetic Field ◽  
Quantum Number ◽  
Landau Level ◽  
Cuprous Oxide ◽  
Principal Quantum Number ◽  
Bohr Radius ◽  
Quantum Numbers ◽  
Magnetic Length ◽  
Level Quantization ◽  
The Magnetic Field

AbstractLately, the yellow series of P -excitons in cuprous oxide could be resolved up to the principal quantum number n = 25. Adding a magnetic field, leads to additional confinement normal to the field. Thereby, the transition associated with the exciton n is transformed into the transition between the electron and hole Landau levels with quantum number n , once the associated magnetic length becomes smaller than the related exciton Bohr radius. The magnetic field of this transition scales roughly as n ^–3. As a consequence of the extended exciton series, we are able to observe Landau level transitions with unprecedented high quantum numbers of more than 75.

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