Year: 2002
Type: article
Abstract: We show that the existence of algebraic forms of exactly solvable A-B-C-D , G 2 , and F 4 Olshanetsky-Perelomov Hamiltonians allows one to develop algebraic perturbation theory, where corrections are computed by purely algebraic means. A classification of perturbations leading to such a perturbation theory based on the theory of representations of Lie algebras is given. In particular, this scheme admits an explicit study of anharmonic many-body problems. Some examples are presented.
Source: Physics of Atomic Nuclei
DOI: 10.1134/1.1490123
Author: A. V. Turbiner
Institutions: Université Paris-Sud, Universidad Nacional Autónoma de México
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2009248006