adiabatic approximation

adiabatic approximation

[¦ad·ē·ə¦bad·ik ə‚präk·sə′mā·shən]
(astrophysics)
The approximation that the pressure and density of gas in a star are related by the adiabatic law.
(physical chemistry)
Born-Oppenheimer approximation
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References in periodicals archive ?
Taking into account the strong anisotropy of the nanostructure, one can use the adiabatic approximation, in which fast transverse and slow in-plane movements may be considered separately, representing the electron wave function as follows:
Energy Spectrum of Shallow Donor in Elongated InAs/GaAs Volcano-Shaped Quantum Dot
The first approximation, which is called the adiabatic approximation [5-7], assumes that the electronic wave functions adapt quasi-instantaneously to a variation of the nuclear configuration.
Computational Methods for Ab Initio Molecular Dynamics
In this case, we can use adiabatic approximation, which results in the following time-dependent perturbation for the electron Schrodinger equation [2, 5-8]:
Response to: Comment on "Does the Equivalence between Gravitational Mass and Energy Survive for a Composite Quantum Body?"
Adiabatic approximation and single electron approximation are usually used in the interaction between light and solid.
Effect of Vacancy Defects on the Electronic Structure and Optical Properties of GaN
Considering that the height of the structure is very small comparing with the dimensions of the base, we can use the adiabatic approximation where the 3D-confinement potential can be written as the sum between two potentials: the first one depending on the in-plane xy-dimensions and the second one depending on the z-dimension; that is, V([rho], z) = V1(p) + [V.sub.2] z; x,y), where the z-dependent confinement potential ([V.sub.2](z; x,y)) depends of the in-plane coordinates (x, y) (in this work this dependence is associated with the variations of the height of the QD).
Donor Impurity-Related Optical Absorption in GaAs Elliptic-Shaped Quantum Dots
The N-soliton interactions in the adiabatic approximation for the MM (V (x) = 0) can be modelled by CTC [10].
Multisoliton interactions for the Manakov system under composite external potentials/Multisolitonide interaktsioonid valisele liitpotentsiaalile allutatud Manakovi tuupi susteemis
For this particular approach, we used effective mass approximation and adiabatic approximation.
Effects of a high intensity laser in the binding energy of a donor impurity [D.sub.0]/Efectos de un laser de alta intensidad en la energia de enlace de una impureza donante [D.sub.0]
The solution is proposed in terms of modes, propagating independently in the adiabatic approximation, and described as a non-integer power series of a small parameter characterizing the stratified medium.
Fundamental problems of internal gravity waves dynamics in ocean
The authors use the Born-Oppenheimer adiabatic approximation and show the parametric method for calculations for polyenes and acenes.
Theory and methods of computational vibronic spectroscopy
The time of flight was calculated for the proton and using the adiabatic approximation. The yield and the logarithmic derivative of the yield with respect to a were calculated.
On the measurement of the electron-neutrino correlation in neutron beta decay
The maximum average current ([<j>.sub.max]) is reached, within this adiabatic approximation, when the lower value of the resonance eigenbound state is equal to the incoming particle's energy, that is, for [OMEGA] = U - [([f.sub.0] + [DELTA]f).sup.2]/4, or [DELTA]f = 2K - [f.sub.0], for which case
The Tunnelling Current through Oscillating Resonance and the Sisyphus Effect
This goal matches the needs of: (i) going beyond the simplest adiabatic approximation -- commonly adopted in the description of ultrafast phenomena at the nanoscale; and(ii) dealing with the actual spatial inhomogeneities of many-electron systems at non-adiabatic level.
MODENADYNA: MODeling Electron Non-Adiabatic DYNAmics

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