scholarly journals Computation of inflationary cosmological perturbations in the power-law inflationary model using the phase-integral method

2007 ◽  
Vol 75 (6) ◽  
Author(s):  
Clara Rojas ◽  
Víctor M. Villalba
Keyword(s):  
Power Law ◽  
Integral Method ◽  
Inflationary Model ◽  
Cosmological Perturbations ◽  
Phase Integral

The Jost function treated by the F-matrix phase integral method

1979 ◽  
Vol 12 (2) ◽  
pp. 171-186 ◽  
Author(s):  
G Drukarev ◽  
N Froman ◽  
P O Froman
Keyword(s):  
Integral Method ◽  
Matrix Phase ◽  
Jost Function ◽  
Phase Integral

Semiclassical model calculations of weak, strong, and short H-bonds

1991 ◽  
Vol 69 (11) ◽  
pp. 1819-1826 ◽  
Author(s):  
Werner A. P. Luck ◽  
Thomas Wess
Keyword(s):  
Integral Method ◽  
Basis Set ◽  
Bond Energies ◽  
Model Calculations ◽  
Semiclassical Model ◽  
Phase Integral ◽  
Simple Phase ◽  
Tunnel Effects ◽  
Isotopic Effects ◽  
Ubbelohde Effect

The OH potentials of the complexes [Formula: see text] are calculated by an ab initio MO-LCAO-SCF-CISD method with a 6-31G** basis set for 30 different [Formula: see text] distances. The resulting OH vibration levels are calculated by the so-called semiclassical Planck–Sommerfeld phase integral. The experimental H-bond effects on vibration spectra, and their anomalies, could be established by calculations of H-bond energies, OH frequencies, anharmonicities, the Badger–Bauer rule, correlation between OH and [Formula: see text] distances, isotopic effects, and the Ubbelohde effect. For very short H-bonds new properties could be predicted. There seem to exist three classes of H-bond: (1) weak or medium-strong, (2) strong, and (3) very short. The simple phase integral method could demonstrate the anomalous effects of strong H-bonds solely by the transition from two separated minima to one, without necessarily assuming tunnel effects. Key words: strong H-bonds, IR spectra and theory, tunnel effects.

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