Spectral Analysis of Certain Schrödinger Operators
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Spectral Analysis of Certain Schrödinger Operators
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| Creator |
Ismail, Mourad E.H.
Koelink, E |
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| Description |
The J-matrix method is extended to difference and q-difference operators and is applied to several explicit differential, difference, q-difference and second order Askey-Wilson type operators. The spectrum and the spectral measures are discussed in each case and the corresponding eigenfunction expansion is written down explicitly in most cases. In some cases we encounter new orthogonal polynomials with explicit three term recurrence relations where nothing is known about their explicit representations or orthogonality measures. Each model we analyze is a discrete quantum mechanical model in the sense of Odake and Sasaki [J. Phys. A: Math. Theor. 44 (2011), 353001, 47 pages].
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| Date |
2019-02-18T13:10:40Z
2019-02-18T13:10:40Z 2012 |
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| Type |
Article
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| Identifier |
Spectral Analysis of Certain Schrödinger Operators / Mourad E.H. Ismail, E. Koelink // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 40 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 30E05; 33C45; 39A10; 42C05; 44A60 DOI: http://dx.doi.org/10.3842/SIGMA.2012.061 http://dspace.nbuv.gov.ua/handle/123456789/148463 |
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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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