scholarly journals Symbolic methods for the evaluation of sum rules of Bessel functions

2013 ◽  
Vol 54 (7) ◽  
pp. 073501 ◽  
Author(s):  
D. Babusci ◽  
G. Dattoli ◽  
K. Górska ◽  
K. A. Penson
Keyword(s):  
Bessel Functions ◽  
Sum Rules ◽  
Symbolic Methods

scholarly journals Hierarchies of sum rules for squares of spherical Bessel functions

2016 ◽  
Vol 28 (2) ◽  
pp. 156-165
Author(s):  
L. G. Suttorp ◽  
A. J. van Wonderen
Keyword(s):  
Bessel Functions ◽  
Sum Rules

scholarly journals A new class of sum rules for products of Bessel functions

2011 ◽  
Vol 52 (3) ◽  
pp. 033508 ◽  
Author(s):  
G. Bevilacqua ◽  
V. Biancalana ◽  
Y. Dancheva ◽  
T. Mansour ◽  
L. Moi
Keyword(s):  
Bessel Functions ◽  
Sum Rules ◽  
New Class

A simple derivation of new sum rules of bessel functions

1985 ◽  
Vol 90 (2) ◽  
pp. 138-142 ◽  
Author(s):  
F. Ciocci ◽  
G. Dattoli ◽  
A. Dipace ◽  
A. Torre
Keyword(s):  
Bessel Functions ◽  
Sum Rules ◽  
Simple Derivation

A Perturbation Theory for the Population of Atomic Energy Levels in Non-Lte Plasmas

1988 ◽  
Vol 102 ◽  
pp. 343-347
Author(s):  
M. Klapisch
Keyword(s):  
Perturbation Theory ◽  
Small Parameter ◽  
Classification Scheme ◽  
Sum Rules ◽  
Energy Levels ◽  
Natural Classification ◽  
Quantum Numbers ◽  
Formal Expansion ◽  
Atomic Energy Levels ◽  
As Effects

AbstractA formal expansion of the CRM in powers of a small parameter is presented. The terms of the expansion are products of matrices. Inverses are interpreted as effects of cascades.It will be shown that this allows for the separation of the different contributions to the populations, thus providing a natural classification scheme for processes involving atoms in plasmas. Sum rules can be formulated, allowing the population of the levels, in some simple cases, to be related in a transparent way to the quantum numbers.

Sign in / Sign up

Export Citation Format

Share Document