Наукова електронна бібліотека
періодичних видань НАН України
періодичних видань НАН України
From Quantum AN (Calogero) to H₄ (Rational) Model
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2011, том 7
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- Symmetry, Integrability and Geometry: Methods and Applications, 2011, том 7, випуск за цей рік
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| dc.contributor.author | Turbiner, A.V. | |
| dc.date.accessioned | 2019-02-14T17:25:44Z | |
| dc.date.available | 2019-02-14T17:25:44Z | |
| dc.date.issued | 2011 | |
| dc.identifier.citation | From Quantum AN (Calogero) to H₄ (Rational) Model / A.V. Turbiner // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 16 назв. — англ. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2010 Mathematics Subject Classification: 35P99; 47A15; 47A67; 47A75 | |
| dc.identifier.other | DOI:10.3842/SIGMA.2011.071 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/147394 | |
| dc.description.abstract | A brief and incomplete review of known integrable and (quasi)-exactly-solvable quantum models with rational (meromorphic in Cartesian coordinates) potentials is given. All of them are characterized by (i) a discrete symmetry of the Hamiltonian, (ii) a number of polynomial eigenfunctions, (iii) a factorization property for eigenfunctions, and admit (iv) the separation of the radial coordinate and, hence, the existence of the 2nd order integral, (v) an algebraic form in invariants of a discrete symmetry group (in space of orbits). | uk_UA |
| dc.description.sponsorship | This paper is a contribution to the Special Issue “Symmetry, Separation, Super-integrability and Special Functions (S₄)”. The full collection is available at http://www.emis.de/journals/SIGMA/S4.html. | uk_UA |
| dc.language.iso | en | uk_UA |
| dc.publisher | Інститут математики НАН України | uk_UA |
| dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
| dc.title | From Quantum AN (Calogero) to H₄ (Rational) Model | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
