THE POLARON EFFECTS AND RELAXATION OF NON-EQUILIBRIUM ELECTRONS IN THE QUASI-TWO-DIMENSIONAL SYSTEMS

The problem on weak-coupling polaron in the quasi-two-dimensional electron system is solved. Analytical expressions for polaron energy shift of the subband and polaron contribution to the effective electron mass with arbitrary quantum well width are found. The expressions obtained give the well-known values for two- and three-dimensional limiting cases. A comparison of the polaron contribution to the mass with the available experimental data is carried out. Energy relaxation processes of non-equilibrium quasi-two-dimensional electrons with the optic phonon emission are also considered. General analytical expressions for the frequencies of intra-subband and inter-subband transitions for the threshold electron energy are obtained.

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Spin-Waves in Stoner Ferromagnetic Phase of a Two-Dimensional Electron System

Solid State Phenomena ◽

10.4028/www.scientific.net/ssp.190.15 ◽

2012 ◽

Vol 190 ◽

pp. 15-18

Author(s):

A.H. Esmailian ◽

F. Kanjouri ◽

N. Mohammadi ◽

M.R. Mahloojian ◽

N. Abbasi

Keyword(s):

Spin Waves ◽

Random Phase ◽

Three Dimensional ◽

Electron System ◽

Ferromagnetic Phase ◽

Two Dimensional ◽

Hartree Fock ◽

Dimensional Electron System ◽

Splitting Energy ◽

Do So

We have studied the collective excitations (spin-wave energies) in the ground state of a two-dimensional (2D) electron system using the random phase approximation (RPA). To do so, we have calculated the magnetic transverse susceptibility in 2D electron system by Hartree-Fock (HF) approximation of Hubbard model at T=0 which is generally referred to as the Stoner model. The spin-waves dispersion of three-dimensional (3D) electron system due to its quadratic behavior starts from zero at q0 while our numerical results show that the spin-waves dispersion of 2D electron system starts from the value Δ, known as exchange splitting energy, even at q=0.

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Nonlinear Surface Polaritons in a Two-Dimensional Electron System Placed Into a Quantizing Magnetic Field*

Telecommunications and Radio Engineering ◽

10.1615/telecomradeng.v57.i2-3.110 ◽

2002 ◽

Vol 57 (2-3) ◽

pp. 11

Author(s):

N. N. Beletskii ◽

Yu. V. Bludov

Keyword(s):

Magnetic Field ◽

Electron System ◽

Two Dimensional ◽

Dimensional Electron ◽

Surface Polaritons ◽

Dimensional Electron System ◽

Nonlinear Surface ◽

Quantizing Magnetic Field

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CALCULATION OF THE DEPENDENCE OF THE DISTANCE TO THE LOCATED OBJECT FROM THE CORNER POSITION OF THE VEHICLE LINE

Issues of radio electronics ◽

10.21778/2218-5453-2018-4-14-18 ◽

2018 ◽

pp. 14-18

Author(s):

V. V. Artyushenko ◽

A. V. Nikulin

Keyword(s):

Real Time ◽

Statistical Physics ◽

Angular Position ◽

Three Dimensional ◽

Line Of Sight ◽

Two Dimensional ◽

Radar Station ◽

Flight Mode ◽

Vector Algebra ◽

Analytical Expressions

To simulate echoes from the earth’s surface in the low flight mode, it is necessary to reproduce reliably the delayed reflected sounding signal of the radar in real time. For this, it is necessary to be able to calculate accurately and quickly the dependence of the distance to the object being measured from the angular position of the line of sight of the radar station. Obviously, the simplest expressions for calculating the range can be obtained for a segment or a plane. In the text of the article, analytical expressions for the calculation of range for two-dimensional and three-dimensional cases are obtained. Methods of statistical physics, vector algebra, and the theory of the radar of extended objects were used. Since the calculation of the dependence of the range of the object to the target from the angular position of the line of sight is carried out on the analytical expressions found in the paper, the result obtained is accurate, and due to the relative simplicity of the expressions obtained, the calculation does not require much time.

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