Dorey, Patrick, Dunning, Clare, Tateo, Roberto (2012) Quasi-exact solvability, resonances and trivial monodromy in ordinary differential equations. Journal of Physics A: Mathematical and Theoretical, 45 (44). pp. 1-11. ISSN 1751-8113. (doi:10.1088/1751-8113/45/44/444013) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:31250)
| The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided. | |
| Official URL: http://dx.doi.org/10.1088/1751-8113/45/44/444013 |
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Abstract
A correspondence between the sextic anharmonic oscillator and a pair of third-order ordinary differential equations is used to investigate the phenomenon of quasi-exact solvability for eigenvalue problems involving differential operators with order greater than two. In particular, links with Bender-Dunne polynomials and resonances between independent solutions are observed for certain second-order cases, and extended to the higher-order problems.
| Item Type: | Article |
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| DOI/Identification number: | 10.1088/1751-8113/45/44/444013 |
| Subjects: | Q Science > QA Mathematics (inc Computing science) > QA372 Ordinary differential equations |
| Institutional Unit: | Schools > School of Engineering, Mathematics and Physics > Mathematical Sciences |
| Former Institutional Unit: |
Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
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| Depositing User: | Clare Dunning |
| Date Deposited: | 04 Oct 2012 10:15 UTC |
| Last Modified: | 20 May 2025 11:35 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/31250 (The current URI for this page, for reference purposes) |
University of Kent Author Information
Dunning, Clare.
| Creator's ORCID: |
 https://orcid.org/0000-0003-0535-9891
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