Solution of an Infinite Set of Green-Function Equations for a Trapped Electron

1972 ◽  
Vol 50 (6) ◽  
pp. 573-578 ◽  
Author(s):  
B. Frank ◽  
C. Y. Cheung
Keyword(s):  
Green Function ◽  
Adiabatic Approximation ◽  
Absorption Of Light ◽  
Coupling Approximation ◽  
Gaussian Line Shape ◽  
Strong Coupling Approximation ◽  
Double Time ◽  
Infinite Set ◽  
Trapped Electron ◽  
Gaussian Line

A Gaussian line shape is obtained for absorption of light by a single trapped electron, interacting linearly with the lattice vibrations, by solving an infinite set of double-time Green-function equations valid to lowest order in the adiabatic approximation. It is assumed that the phonons do not mix different electronic states. The result is the same as that obtained by applying the strong-coupling approximation to the exact Fourier-transformed expression, and can be extended to the case of a more general Hamiltonian.

Hubbard model in the strong-coupling approximation

1993 ◽  
Vol 47 (10) ◽  
pp. 6004-6009 ◽  
Author(s):  
B. M. Elrick ◽  
M. D. Kovarik ◽  
A. E. Jacobs ◽  
W. G. Macready
Keyword(s):  
Hubbard Model ◽  
Strong Coupling ◽  
Coupling Approximation ◽  
Strong Coupling Approximation

scholarly journals MSSM inflation and cosmological attractors

2018 ◽  
Vol 15 (supp01) ◽  
pp. 1840001 ◽  
Author(s):  
M. N. Dubinin ◽  
E. Yu. Petrova ◽  
E. O. Pozdeeva ◽  
S. Yu. Vernov
Keyword(s):  
Standard Model ◽  
Supersymmetric Standard Model ◽  
Scalar Fields ◽  
Higgs Doublet ◽  
Minimal Coupling ◽  
Mixing Angle ◽  
Coupling Approximation ◽  
Strong Coupling Approximation ◽  
Inflationary Parameters

Inflationary scenarios motivated by the minimal supersymmetric standard model (MSSM) where five scalar fields are non-minimally coupled to gravity are considered. The potential of the model and the function of non-minimal coupling are polynomials of two Higgs doublet convolutions. We show that the use of the strong coupling approximation allows to obtain inflationary parameters in the case when a combination of the four scalar fields plays a role of inflaton. Numerical calculations show that the cosmological evolution leads to inflationary scenarios fully compatible with observational data for different values of the MSSM mixing angle [Formula: see text].

scholarly journals Paramagnetische Elektronenresonanz thermisch und durch Strahlung erzeugter Zentren in Bornitrid

1966 ◽  
Vol 21 (11) ◽  
pp. 1970-1975 ◽  
Author(s):  
G. Römelt
Keyword(s):  
Isotopic Composition ◽  
Line Width ◽  
Line Shape ◽  
X Rays ◽  
Natural Isotopic Composition ◽  
Epr Spectrum ◽  
Γ Radiation ◽  
Impurity Atoms ◽  
Gaussian Line Shape ◽  
Gaussian Line

By X-rays, ultraviolet, and γ-radiation or by heating to more than 1850 °C in powdered or sintered boronnitride centres are produced, which give an EPR-spectrum with 10 lines a=7.8 ± 0.1 Gauss apart with g=2.0027 ± 0.0003 for BN of natural isotopic composition (81.17% 11B; 18.83% 10B), and a single line for 10BN enriched to 91% 10B. The spectra are analysed as built up from 4 systems of spectra, caused by surroundings of 3 boron atoms, 3, 2, 1, or 0 of which are 11B, each occuring with the proper probability. The intensity of the different systems was calculated by assuming GAussian line shape and equal | ψ (0) |2 and line width for 11B and 10B. It is possible, that the EPR is caused by impurity atoms on the places of N or in the centre of B3N3-rings. Other spectra caused in BN by X-rays or by neutrons in a pile are discussed elsewhere 3, 8.

Photoautoionization structure in the halogen systems Br2, I2, BrCl, ICl, and IBr

2011 ◽  
Vol 89 (3) ◽  
pp. 289-296 ◽  
Author(s):  
Andrew J. Yencha ◽  
Devinder Kaur
Keyword(s):  
Potential Energy ◽  
Rydberg States ◽  
Molecular Ions ◽  
Spin Orbit ◽  
Shape Functions ◽  
Ionization Region ◽  
Gaussian Line Shape ◽  
Condon Factors ◽  
Franck Condon ◽  
Gaussian Line

The photoabsorption ion-yield spectra of the titled molecules have been recorded in the threshold ionization region between the two spin-orbit components of the ground states of the molecular ions. All ion-yield spectra display rather simple autoionization structure superimposed on a smoothly rising continuum in the ionization energy region. The structure was analyzed in terms of autoionizing Rydberg states and their vibrational profiles simulated using Rydberg–Klein–Rees (RKR) derived potential energy curves and calculated Franck–Condon factors using Gaussian line-shape functions. All of the structure observed is attributed to spin-orbit autoionization. There seems to be a propensity for autoionization of sσ Rydberg states in all of the interhalogen molecules studied.

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