Eigenfunction Expansions of Functions Describing Systems with Symmetries
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Eigenfunction Expansions of Functions Describing Systems with Symmetries
|
|
| Creator |
Kachuryk, I.
Klimyk, A. |
|
| Description |
Physical systems with symmetries are described by functions containing kinematical and dynamical parts. We consider the case when kinematical symmetries are described by a noncompact semisimple real Lie group G. Then separation of kinematical parts in the functions is fulfilled by means of harmonic analysis related to the group G. This separation depends on choice of a coordinate system on the space where a physical system exists. In the paper we review how coordinate systems can be chosen and how the corresponding harmonic analysis can be done. In the first part we consider in detail the case when G is the de Sitter group SO₀(1,4). In the second part we show how the corresponding theory can be developed for any noncompact semisimple real Lie group.
|
|
| Date |
2019-02-16T08:34:13Z
2019-02-16T08:34:13Z 2007 |
|
| Type |
Article
|
|
| Identifier |
Eigenfunction Expansions of Functions Describing Systems with Symmetries / I. Kachuryk, A. Klimyk // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 52 назв. — англ.
1815-0659 2000 Mathematics Subject Classification: 22E43; 22E46; 33C80; 42C10; 45C05; 81Q10 http://dspace.nbuv.gov.ua/handle/123456789/147805 |
|
| Language |
en
|
|
| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
|
|
| Publisher |
Інститут математики НАН України
|
|