The Validity of Perturbation Series with Zero Radius of Convergence

1966 ◽  
Vol 7 (11) ◽  
pp. 1900-1902 ◽  
Author(s):  
George A. Baker ◽  
Roy Chisholm
Keyword(s):  
Perturbation Series ◽  
Radius Of Convergence ◽  
Zero Radius

scholarly journals Elastic Theory Has Zero Radius of Convergence

1996 ◽  
Vol 77 (8) ◽  
pp. 1520-1523 ◽  
Author(s):  
Alex Buchel ◽  
James P. Sethna
Keyword(s):  
Radius Of Convergence ◽  
Elastic Theory ◽  
Zero Radius

Combination of the successive perturbation method with other common methods

1987 ◽  
Vol 65 (5) ◽  
pp. 462-463 ◽  
Author(s):  
V. A. Popescu ◽  
I. M. Popescu
Keyword(s):  
Hydrogen Atom ◽  
Perturbation Method ◽  
Perturbation Series ◽  
Radius Of Convergence ◽  
Fundamental State

For the hydrogen atom in the fundamental state perturbed by βr−1, it is shown how the successive perturbation method can be combined with the method in which some fraction of a nonperturbed term (in the Hamiltonian) is included in the perturbation. Thus, the radius of convergence of the perturbation series is increased.

Detection of Singular Points

1982 ◽  
Vol 25 (4) ◽  
pp. 496-497
Author(s):  
V. F. Cowling ◽  
J. P. King
Keyword(s):  
Power Series ◽  
Singular Points ◽  
Radius Of Convergence ◽  
Zero Radius

AbstractA theorem is proved which gives a new test for singular points on the circle of convergence of the function f(z) defined by a power series ∑anzn finite non-zero radius of convergence.

In what schemes can QCD perturbation series converge?

1984 ◽  
Vol 29 (12) ◽  
pp. 2884-2890 ◽  
Author(s):  
C. J. Maxwell
Keyword(s):  
Perturbation Series

On the convergence of the operator method perturbation series

1984 ◽  
Vol 104 (8) ◽  
pp. 401-404 ◽  
Author(s):  
Francisco M. Fernández ◽  
Alejandro M. Mesón ◽  
Eduardo A. Castro
Keyword(s):  
Operator Method ◽  
Perturbation Series
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