Stark Effect in Hydrogenic Atoms: Comparison of Fourth-Order Perturbation Theory with WKB Approximation

1969 ◽  
Vol 188 (1) ◽  
pp. 130-139 ◽  
Author(s):  
J. D. Bekenstein ◽  
J. B. Krieger
Keyword(s):  
Perturbation Theory ◽  
Fourth Order ◽  
Stark Effect ◽  
Order Perturbation ◽  
Wkb Approximation ◽  
Order Perturbation Theory

A nondiagonal quasidegenerate fourth-order perturbation theory

1996 ◽  
Vol 20 (2) ◽  
pp. 351-364 ◽  
Author(s):  
Kathleen Kuhler ◽  
Mark R. Hoffmann
Keyword(s):  
Perturbation Theory ◽  
Fourth Order ◽  
Order Perturbation ◽  
Order Perturbation Theory

Stark Effect in Hydrogen: Dispersion Relation, Asymptotic Formulas, and Calculation of the Ionization Rate via High-Order Perturbation Theory

1979 ◽  
Vol 43 (20) ◽  
pp. 1498-1501 ◽  
Author(s):  
Harris J. Silverstone ◽  
Barry G. Adams ◽  
Jiri Cizek ◽  
Peter Otto
Keyword(s):  
Perturbation Theory ◽  
Dispersion Relation ◽  
Stark Effect ◽  
Ionization Rate ◽  
High Order ◽  
Order Perturbation ◽  
Order Perturbation Theory ◽  
Asymptotic Formulas

scholarly journals Fourth Order Perturbation Theory for Normal Selfenergy in Repulsive Hubbard Model

2005 ◽  
Vol 74 (9) ◽  
pp. 2592-2597 ◽  
Author(s):  
Shogo Shinkai ◽  
Hiroaki Ikeda ◽  
Kosaku Yamada
Keyword(s):  
Perturbation Theory ◽  
Hubbard Model ◽  
Fourth Order ◽  
Order Perturbation ◽  
Order Perturbation Theory

Field-Dependence of Chemical Shifts in Colbalt(III) N.M.R. Spectroscopy. Theoretical Predictions

1979 ◽  
Vol 32 (1) ◽  
pp. 1 ◽  
Author(s):  
DM Doddrell ◽  
DT Pegg ◽  
MR Bendell
Keyword(s):  
Perturbation Theory ◽  
Field Dependence ◽  
Fourth Order ◽  
Chemical Shifts ◽  
Order Perturbation ◽  
Order Perturbation Theory ◽  
Chemical Shielding ◽  
Field Dependent ◽  
Theoretical Predictions ◽  
Shielding Tensor

Ramsey's suggestion of fourth-order perturbation theory contribution to a field-dependent chemical shielding arising from paramagnetic currents is more closely examined. The effect is shown to be opposite in sign to the field-invariant chemical shielding tensor and, for cobalt(111) chemical shifts, only becomes important for some complexes for field strengths in excess of 20T.

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