Algebraic aspects of perturbation theories

Details Algebraic aspects of perturbation theories Algebraic aspects of perturbation theories

Nov 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979cemec..20..343s&link_type=abstract

Celestial Mechanics, vol. 20, Nov. 1979, p. 343-354.

Mathematics

3

Lie Groups, Operators (Mathematics), Perturbation Theory, Boundary Value Problems, Celestial Mechanics, Differential Equations, Linear Operators, Series Expansion, Singularity (Mathematics), Taylor Series

Scientific paper

In this paper the following problems are considered: Hori's perturbation equations, the composition of two Lie series, the elimination of geometrical (virtual) singularities in perturbation theory, the connection between the methods of Hori and Deprit. The analysis is based on an isomorphism between the Lie algebra of the non-associative algebra of vector fields and a Lie algebra of linear operators. All linear operators, however, form an associative algebra.

Affiliated with

Also associated with

No associations

Rating

Algebraic aspects of perturbation theories does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Algebraic aspects of perturbation theories, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Algebraic aspects of perturbation theories will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-974507