Completely Integrable Systems Associated with Classical Root Systems
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Completely Integrable Systems Associated with Classical Root Systems
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| Creator |
Oshima, T.
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| Description |
We study integrals of completely integrable quantum systems associated with classical root systems. We review integrals of the systems invariant under the corresponding Weyl group and as their limits we construct enough integrals of the non-invariant systems, which include systems whose complete integrability will be first established in this paper. We also present a conjecture claiming that the quantum systems with enough integrals given in this note coincide with the systems that have the integrals with constant principal symbols corresponding to the homogeneous generators of the Bn-invariants. We review conditions supporting the conjecture and give a new condition assuring it.
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| Date |
2019-02-14T14:46:51Z
2019-02-14T14:46:51Z 2007 |
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| Type |
Article
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| Identifier |
Completely Integrable Systems Associated with Classical Root Systems / T. Oshima // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 41 назв. — англ.
1815-0659 2000 Mathematics Subject Classification: 81R12; 70H06 http://dspace.nbuv.gov.ua/handle/123456789/147369 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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