scholarly journals SPIN-POLARIZED PHOTOCURRENT THROUGH QUANTUM DOT PHOTODETECTOR

2017 ◽  
Vol 24 (1&2) ◽  
pp. 7-13
Author(s):  
Nguyen Van Hieu ◽  
Nguyen Bich Ha
Keyword(s):  
Quantum Dot ◽  
Electron Tunneling ◽  
Electronic Transitions ◽  
Matrix Elements ◽  
Semiconductor Quantum Dot ◽  
Spin Polarized ◽  
The Matrix ◽  
Electron Photon ◽  
Analytical Expressions ◽  
Polarized Photons

The theory of the photocurrent through the photodetector based on a two-level semiconductor quantum dot (QD) is presented. The analytical expressions of the matrix elements of the electronic transitions generated by the absorption of the circularly polarized photons are derived in the lowest order of the perturbation theory with respect to the electron tunneling interaction as well as the electron-photon interaction. From these expressions the mechanism of the generation of the spin-polarized of electrons in the photocurrent is evident. It follows that the photodetector based on the two-level semiconductor QD can be used as the model of a source of highly spinpolarized electrons.

scholarly journals Analytical angular solutions for the atom–diatom interaction potential in a basis set of products of two spherical harmonics: two approaches

2021 ◽  
Author(s):  
Mariusz Pawlak ◽  
Marcin Stachowiak
Keyword(s):  
Spherical Harmonics ◽  
Interaction Potential ◽  
Chem Phys ◽  
Basis Set ◽  
Matrix Elements ◽  
Trigonometric Functions ◽  
Variational Theory ◽  
Molecular Collision ◽  
The Matrix ◽  
Analytical Expressions

AbstractWe present general analytical expressions for the matrix elements of the atom–diatom interaction potential, expanded in terms of Legendre polynomials, in a basis set of products of two spherical harmonics, especially significant to the recently developed adiabatic variational theory for cold molecular collision experiments [J. Chem. Phys. 143, 074114 (2015); J. Phys. Chem. A 121, 2194 (2017)]. We used two approaches in our studies. The first involves the evaluation of the integral containing trigonometric functions with arbitrary powers. The second approach is based on the theorem of addition of spherical harmonics.

Properties of the Quantum Double Oscillator

1975 ◽  
Vol 30 (12) ◽  
pp. 1730-1741 ◽  
Author(s):  
Jürgen Brickmann
Keyword(s):  
Harmonic Oscillator ◽  
Large Class ◽  
Electronic Transitions ◽  
Matrix Elements ◽  
Quantum Double ◽  
The Matrix ◽  
Analytic Expressions ◽  
Condon Factors ◽  
Finite Sums ◽  
Franck Condon

Abstract A formalism is presented to obtain approximate analytic expressions for the eigenstates and eigenvalues of a quantum double oscillator (QDO). The matrix elements of a large class of operators with respect to states of different double oscillators result as finite sums of explicit functions of the respective parameters. Matrix elements between states of a harmonic oscillator and a double oscillator are also determined. The analytic expressions were used to calculate Franck-Condon factors for electronic transitions including double oscillator anharmonicities.

ALGEBRAIC APPROACH TO THE PSEUDOHARMONIC OSCILLATOR IN 2D

2002 ◽  
Vol 11 (02) ◽  
pp. 155-160 ◽  
Author(s):  
SHI-HAI DONG ◽  
ZHONG-QI MA
Keyword(s):  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Algebraic Approach ◽  
Matrix Elements ◽  
Ladder Operators ◽  
Commutation Relations ◽  
The Matrix ◽  
Pseudoharmonic Oscillator ◽  
Analytical Expressions

A realization of the ladder operators for the solutions to the Schrödinger equation with a pseudoharmonic oscillator in 2D is presented. It is shown that those operators satisfy the commutation relations of an SU(1, 1) algebra. Closed analytical expressions are evaluated for the matrix elements of some operators r2 and r∂/∂ r

Measurements of the matrix elements of the dipole moments of the electronic transitions in the SiF molecule

1979 ◽  
Vol 30 (1) ◽  
pp. 64-68
Author(s):  
A. D. Smirnov ◽  
N. E. Kuz'menko ◽  
Yu. Ya. Kuzyakov
Keyword(s):  
Dipole Moments ◽  
Electronic Transitions ◽  
Matrix Elements ◽  
The Matrix

A REALIZATION OF DYNAMIC GROUP FOR AN ELECTRON IN A UNIFORM MAGNETIC FIELD

2002 ◽  
Vol 11 (04) ◽  
pp. 265-271 ◽  
Author(s):  
SHISHAN DONG ◽  
SHI-HAI DONG
Keyword(s):  
Magnetic Field ◽  
Relativistic Electron ◽  
Uniform Magnetic Field ◽  
Wave Functions ◽  
Matrix Elements ◽  
Eigenvalues And Eigenfunctions ◽  
Radial Wave ◽  
Creation And Annihilation Operators ◽  
The Matrix ◽  
Analytical Expressions

The eigenvalues and eigenfunctions of the Schrödinger equation with a non-relativistic electron in a uniform magnetic field are presented. A realization of the creation and annihilation operators for the radial wave-functions is carried out. It is shown that these operators satisfy the commutation relations of an SU(1,1) group. Closed analytical expressions are evaluated for the matrix elements of different functions ρ2 and [Formula: see text].

A spin-polarized bi-exciton in a semiconductor quantum dot

2008 ◽  
Vol 20 (45) ◽  
pp. 454213 ◽  
Author(s):  
Marek Korkusinski ◽  
Pawel Hawrylak ◽  
Marek Potemski
Keyword(s):  
Quantum Dot ◽  
Semiconductor Quantum Dot ◽  
Spin Polarized

New analytical expression for the rotational factor in Raman transitions

1995 ◽  
Vol 73 (9-10) ◽  
pp. 559-565 ◽  
Author(s):  
M. Korek ◽  
H. Kobeissi
Keyword(s):  
Direct Calculation ◽  
Matrix Elements ◽  
Numerical Application ◽  
Raman Transitions ◽  
The Matrix ◽  
Present Formalism ◽  
Vibration Wave ◽  
Schrödinger Perturbation ◽  
Analytical Expressions ◽  
Rotational Factor

The matrix elements of the polarizability anisotropy γ in the Raman spectra of diatomic molecules are investigated. These matrix elements are given by [Formula: see text] where Gνν′(m) is the rotational factor with m = [(J′(J′ + 1) − J(J + 1)]/2 and J′ − J = ±2. By using a nonconventional approach to the Rayleigh–Schrödinger perturbation theory the rotational factor can be written as Gνν′(m) = A0 + A1m + A2m2 where the coefficients A0, A1, and A2 are given by simple analytical expressions in terms of the integrals [Formula: see text] and [Formula: see text] where Y stands for Ψ(0) (the pure vibration wave function), or Ψ(0) (the first rotational perturbative correction to Ψ(0), or Ψ(2) (the second correction). A numerical application is presented for the ground states of CO and H2 molecules. A comparison with a numerical and direct calculation of the rotational factor Gνν′(m) shows the accuracy of the present formalism.

scholarly journals Optical Detection of Single-Electron Tunneling into a Semiconductor Quantum Dot

2019 ◽  
Vol 122 (24) ◽  
Author(s):  
A. Kurzmann ◽  
P. Stegmann ◽  
J. Kerski ◽  
R. Schott ◽  
A. Ludwig ◽  
...  
Keyword(s):  
Quantum Dot ◽  
Electron Tunneling ◽  
Optical Detection ◽  
Single Electron ◽  
Semiconductor Quantum Dot ◽  
Single Electron Tunneling

THE HIDDEN SYMMETRY FOR A QUANTUM SYSTEM WITH A PÖSCHL–TELLER-LIKE POTENTIAL

2003 ◽  
Vol 12 (06) ◽  
pp. 809-815 ◽  
Author(s):  
SHI-HAI DONG ◽  
GUO-HUA SUN ◽  
YU TANG
Keyword(s):  
Quantum System ◽  
Wave Functions ◽  
Matrix Elements ◽  
Eigenvalues And Eigenfunctions ◽  
Creation And Annihilation Operators ◽  
Commutation Relations ◽  
Hidden Symmetry ◽  
The Matrix ◽  
The Creation ◽  
Analytical Expressions

The eigenvalues and eigenfunctions of the Schrödinger equation with a Pöschl–Teller (PT)-like potential are presented. A realization of the creation and annihilation operators for the wave functions is carried out. It is shown that these operators satisfy the commutation relations of an SU(1,1) group. Closed analytical expressions are evaluated for the matrix elements of different functions, sin (ρ) and [Formula: see text] with ρ=πx/L.

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