From Quantum AN (Calogero) to H₄ (Rational) Model
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
From Quantum AN (Calogero) to H₄ (Rational) Model
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| Creator |
Turbiner, A.V.
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| Description |
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).
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| Date |
2019-02-14T17:25:44Z
2019-02-14T17:25:44Z 2011 |
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| Type |
Article
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| Identifier |
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.
1815-0659 2010 Mathematics Subject Classification: 35P99; 47A15; 47A67; 47A75 DOI:10.3842/SIGMA.2011.071 http://dspace.nbuv.gov.ua/handle/123456789/147394 |
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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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