Algebraic aspects of perturbation theories
β Scribed by F. Spirig
- Publisher
- Springer Netherlands
- Year
- 1979
- Tongue
- English
- Weight
- 383 KB
- Volume
- 20
- Category
- Article
- ISSN
- 1572-9478
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Analogously to the fact that Lawvere's algebraic theories of finitary varieties Ε½ . are precisely the small categories with finite products, we prove that i algebraic theories of many-sorted quasivarieties are precisely the small, left exact categories Ε½ . with enough regular injectives and ii algeb
This work presents a brief resumC of our applications of computer algebra to the study of large-scale perturbation theory in quantum mechanical systems, both in the small and in the strong coupling regimes. @ 1998 Elsevier Science B.V.
Let CmptPoSp denote the category of compact pospaces with continuous monotone maps and let PoSet denote the category of partially ordered sets and monotone maps. In this paper we show that the forgetful functor G : CmptPoSp + PoSet is monadic; that is, G has a left-adjoint and CmptPoSp is isomorphic
The analysis of the combinatorics resulting from the perturbative expansion of the transition amplitude in quantum field theories, and the relation of this expansion to the Hausdorff series leads naturally to consider an infinite dimensional Lie subalgebra and the corresponding enveloping Hopf algeb