Punctual Padé approximants as a regularization procedure for divergent and oscillatory partial wave expansions of the scattering amplitude

1978 ◽  
Vol 19 (12) ◽  
pp. 2405-2409 ◽  
Author(s):  
C. R. Garibotti ◽  
F. F. Grinstein
Keyword(s):  
Partial Wave ◽  
Scattering Amplitude ◽  
Padé Approximants ◽  
Regularization Procedure ◽  
Pade Approximants

Numerical Evaluation of Partial Wave Contributions to Pion–Nucleon Amplitudes

1974 ◽  
Vol 52 (8) ◽  
pp. 731-742 ◽  
Author(s):  
Robert C. Brunet
Keyword(s):  
Partial Wave ◽  
Fourth Order ◽  
Numerical Evaluation ◽  
Padé Approximants ◽  
Feynman Diagrams ◽  
Order Perturbation ◽  
Pade Approximants ◽  
Pion Nucleon ◽  
Low Order

We present detailed numerical evaluations of the partial wave projections of Feynman diagrams of second- and fourth-order in perturbation for the πN–πN scattering in the [Formula: see text] theory. Perturbative contributions to the S, P, and D waves of isospin 1/2 and 3/2 are given in tables of numerical values. Figures regrouping these results show surprising behavior for the ratios Re(4)/Re(2). These tables and figures allow easy calculations with models using low order perturbation terms such as Padé approximants.

scholarly journals Padé approximants for the ground-state energy of closed-shell quantum dots

1997 ◽  
Vol 56 (24) ◽  
pp. 15740-15743 ◽  
Author(s):  
Augusto Gonzalez ◽  
Bart Partoens ◽  
François M. Peeters
Keyword(s):  
Quantum Dots ◽  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Closed Shell ◽  
Padé Approximants ◽  
Pade Approximants
Sign in / Sign up

Export Citation Format

Share Document