Embedding scaling relations in Padé approximants: Detours to tame divergent perturbation series

2012 ◽  
Vol 113 (7) ◽  
pp. 916-924 ◽  
Author(s):  
Sharmistha Dhatt ◽  
Kamal Bhattacharyya
Keyword(s):  
Padé Approximants ◽  
Perturbation Series ◽  
Scaling Relations ◽  
Pade Approximants

Padé approximants applied to perturbation theory for the linear confining potential

1981 ◽  
Vol 59 (6) ◽  
pp. 733-736 ◽  
Author(s):  
C. S. Lai ◽  
W. C. Lin
Keyword(s):  
Perturbation Theory ◽  
Bound State ◽  
Padé Approximants ◽  
Perturbation Series ◽  
Energy Eigenvalues ◽  
Pade Approximants ◽  
Confining Potential ◽  
Energy Perturbation

By forming the [6,6] and [6,7] Padé approximants to the energy perturbation series for the linear confining potential, we calculate energy eigenvalues of the 1s, 2s–2p, 3s–3d, and 4s–4f states. The bound-state energies calculated are found to follow the order of levels: Enl < Enl′ for l > l′.

Complex energies from real perturbation series for the LoSurdo-Stark effect in hydrogen by Borel-Padé approximants

1985 ◽  
Vol 32 (3) ◽  
pp. 1338-1340 ◽  
Author(s):  
Valter Franceschini ◽  
Vincenzo Grecchi ◽  
Harris J. Silverstone
Keyword(s):  
Stark Effect ◽  
Padé Approximants ◽  
Perturbation Series ◽  
Pade Approximants
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