Generalized Lennard-Jones Potentials, SUSYQM and Differential Galois Theory
In this paper, we start with proving that the Schrödinger equation (SE) with the classical 12−6 Lennard-Jones (L-J) potential is nonintegrable in the sense of the differential Galois theory (DGT), for any value of energy; i.e., there are no solutions in closed form for such a differential equation....
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2018 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2018
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/209858 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Generalized Lennard-Jones Potentials, SUSYQM and Differential Galois Theory / M.F. Acosta-Humánez, P.B. Acosta-Humánez, E. Tuirán // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 51 назв. — англ. |
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