Gap-labeling properties of the energy spectrum for one-dimensional Fibonacci quasilattices

1992 ◽  
Vol 46 (14) ◽  
pp. 9216-9219 ◽  
Author(s):  
Youyan Liu ◽  
Xiujun Fu ◽  
Wenji Deng ◽  
Shizhong Wang
Keyword(s):  
Energy Spectrum ◽  
One Dimensional

scholarly journals Algebraic approach for the one-dimensional Dirac–Dunkl oscillator

2020 ◽  
Vol 35 (31) ◽  
pp. 2050255
Author(s):  
D. Ojeda-Guillén ◽  
R. D. Mota ◽  
M. Salazar-Ramírez ◽  
V. D. Granados
Keyword(s):  
Energy Spectrum ◽  
Irreducible Representation ◽  
Differential Equations ◽  
Representation Theory ◽  
Algebraic Approach ◽  
The Other ◽  
One Dimensional ◽  
The One

We extend the (1 + 1)-dimensional Dirac–Moshinsky oscillator by changing the standard derivative by the Dunkl derivative. We demonstrate in a general way that for the Dirac–Dunkl oscillator be parity invariant, one of the spinor component must be even, and the other spinor component must be odd, and vice versa. We decouple the differential equations for each of the spinor component and introduce an appropriate su(1, 1) algebraic realization for the cases when one of these functions is even and the other function is odd. The eigenfunctions and the energy spectrum are obtained by using the su(1, 1) irreducible representation theory. Finally, by setting the Dunkl parameter to vanish, we show that our results reduce to those of the standard Dirac-Moshinsky oscillator.

scholarly journals Accelerated procedure to solve kinetic equation for neutral atoms in a hot plasma

2018 ◽  
Vol 09 (05) ◽  
pp. 1850048 ◽  
Author(s):  
Mikhail Z. Tokar
Keyword(s):  
Monte Carlo ◽  
Kinetic Equation ◽  
Energy Spectrum ◽  
Erosion Rate ◽  
Fusion Reactor ◽  
Two Dimensional ◽  
First Wall ◽  
One Dimensional ◽  
Hot Plasma ◽  
Electrons And Ions

By reaching the first wall of a fusion reactor, charged plasma particles, electrons and ions are recombined into neutral molecules and atoms of hydrogen isotopes. These species recycle back into the plasma volume and participate, in particular, in charge–exchange (cx) collisions with ions. As a result, hot atoms with chaotically directed velocities are generated and some of them hit the wall. Statistical Monte Carlo methods often used to model the behavior of cx atoms are too time-consuming for comprehensive parameter studies. Recently1 an alternative iteration approach to solve one-dimensional kinetic equation2 has been significantly accelerated, by a factor of 30–50, by applying a pass method to evaluate the arising integrals from functions, involving the ion velocity distribution. Here, this approach is used by solving a two-dimensional kinetic equation, describing the transport of cx atoms in the vicinity of an opening in the wall, e.g., the entrance of a duct guiding to a diagnostic installation. To assess the erosion rate and lifetime of the installation, one need to know the energy spectrum of hot cx atoms escaping from the plasma into the duct. Calculations are done for a first mirror of molybdenum under plasma conditions expected in a fusion reactor like DEMO.3,4 The results of kinetic modeling are compared with those found by using a diffusion approximation5 relevant for cx atoms if the time between cx collisions with ions is much smaller than the time till the ionization of atoms by electrons. The present more exact kinetic consideration predicts a mirror erosion rate by a factor of 2 larger than the approximate diffusion approach.

Pseudoparticle contributions to the energy spectrum of a one-dimensional system

1977 ◽  
Vol 16 (2) ◽  
pp. 423-430 ◽  
Author(s):  
Eldad Gildener ◽  
Adrian Patrascioiu
Keyword(s):  
Energy Spectrum ◽  
Dimensional System ◽  
One Dimensional

ONE DIMENSIONALITY OF DEUTERON VELOCITY DISTRIBUTION FOR CLUSTER-IMPACT FUSION

1992 ◽  
Vol 06 (10) ◽  
pp. 573-579 ◽  
Author(s):  
YEONG E. KIM ◽  
JIN-HEE YOON ◽  
ROBERT A. RICE ◽  
MARIO RABINOWITZ
Keyword(s):  
Energy Spectrum ◽  
Velocity Distribution ◽  
Proton Energy ◽  
Three Dimensional ◽  
Beam Direction ◽  
One Dimensional ◽  
Proton Energy Spectrum ◽  
Dimensional Distribution

In cluster-impact fusion, the width of the proton energy spectrum gives information about the temperature of the fusing deuterons, and its shape reflects the dimensionality of their velocity distribution. The observed symmetrical spectrum implies a one-dimensional distribution, whereas a three-dimensional distribution would result in a skewed spectrum. One dimensionality implies either extremely rapid thermalization in the beam direction, or the possibility of beam ion fusion.

On the Spectra of Turbulent Velocity Field in a Stably Stratified Flow

1991 ◽  
Vol 46 (5) ◽  
pp. 462-468
Author(s):  
A. K. Chakraborty ◽  
B. E. Vembe ◽  
H. P. Mazumdar
Keyword(s):  
Heat Flux ◽  
Energy Spectrum ◽  
Kinetic Energy ◽  
Turbulent Kinetic Energy ◽  
Eddy Viscosity ◽  
Three Dimensional ◽  
Inertial Subrange ◽  
Coefficient Function ◽  
One Dimensional ◽  
Kinetic Energy Spectrum

Abstract This paper describes a method to solve the spectral equation for the balance of turbulent kinetic energy in a stably stratified turbulent shear flow. The cospectra of vertical momentum and heat flux arc modelled with the aid of a basic eddy-viscosity (or turbulent exchange coefficient) function. For the term representing the inertial transfer of turbulent kinetic energy, Pao's [Phys. Fluids 8 (1965)] form is assumed. Analytical expressions for the three-dimensional kinetic energy spectrum as well as the cospectra of momentum and heat flux are obtained over the range of wave numbers k≥kb, which includes the inertial subrange kb≪k≪ks and the viscous subrange k>ks (kb and ks are the buoyancy and Kolmogorov wavenumbers, respectively). The two one-dimensional spectra, e.g., the kinetic energy spectra of the horizontal and vertical components of turbulence are derived from the three-dimensional kinetic energy spectrum. These one-dimensional spectra are compared with the measured data of Gargett et al. [J. Fluid Mech. 144 (1984)] for the case I ( = ks/kb) = 630. Finally, we compute the basic eddy-viscosity function and discuss its behavio

scholarly journals Long-wave Absorption of Few-Hole Gas in Prolate Ellipsoidal Ge/Si Quantum Dot: Implementation of Analytically Solvable Moshinsky Model

Nanomaterials ◽  
2020 ◽  
Vol 10 (10) ◽  
pp. 1896
Author(s):  
David B. Hayrapetyan ◽  
Eduard M. Kazaryan ◽  
Mher A. Mkrtchyan ◽  
Hayk A. Sarkisyan
Keyword(s):  
Energy Spectrum ◽  
Quantum Dot ◽  
Heavy Hole ◽  
Center Of Mass ◽  
Pair Interaction ◽  
One Dimensional ◽  
Long Wave ◽  
Si Quantum Dot ◽  
Specific Geometry ◽  
Prolate Ellipsoidal

In this paper, the behavior of a heavy hole gas in a strongly prolate ellipsoidal Ge/Si quantum dot has been investigated. Due to the specific geometry of the quantum dot, the interaction between holes is considered one-dimensional. Based on the adiabatic approximation, it is shown that in the z-direction, hole gas is localized in a one-dimensional parabolic well. By modeling the potential of pair interaction between holes in the framework of oscillatory law, the problem is reduced to a one-dimensional, analytically solvable Moshinsky model. The exact energy spectrum of the few-hole gas has been calculated. A detailed analysis of the energy spectrum is presented. The character of long-wave transitions between the center-of-mass levels of the system has been obtained when Kohn theorem is realized.

scholarly journals Analisis Energi Osilator Harmonik Menggunakan Metode Path Integral Hypergeometry dan Operator

2016 ◽  
Vol 2 (02) ◽  
pp. 7
Author(s):  
Fuzi Marati Sholihah ◽  
Suparmi S ◽  
Viska Inda Variani
Keyword(s):  
Energy Spectrum ◽  
Harmonic Oscillator ◽  
Path Integral ◽  
Integral Method ◽  
Schrodinger Equation ◽  
Energy Levels ◽  
Operator Method ◽  
One Dimensional ◽  
Equation Analysis ◽  
Path Integral Method

<span>Solution of the harmonic oscillator equation has a goal to get the energy levels of particles <span>moving harmonic. The energy spectrums of one dimensional harmonic oscillator are <span>analyzed by 3 methods: path integral, hypergeometry and operator. Analysis of the energy <span>spectrum by path integral method is examined with Schrodinger equation. Analysis of the <span>energy spectrum by operator method is examined by Hamiltonian in operator. Analysis of <span>harmonic oscillator energy by 3 methods: path integral, hypergeometry and operator are <span>getting same results 𝐸 = ℏ𝜔 (𝑛 + <span>1 2<span>)</span></span></span></span></span></span><br /></span></span></span>

Energy Spectrum and State Diagrams of One-Dimensional Ionic Conductor

2014 ◽  
Vol 59 (5) ◽  
pp. 515-522 ◽  
Author(s):  
R.Ya. Stetsiv ◽  
◽  
I.V. Stasyuk ◽  
O. Vorobyov ◽  
◽  
...  
Keyword(s):  
Energy Spectrum ◽  
Ionic Conductor ◽  
One Dimensional ◽  
State Diagrams
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