The Heun equation and the Calogero-Moser-Sutherland system II: Perturbation and algebraic solution
We apply a method of perturbation for the $BC_1$ Inozemtsev model from the trigonometric model and show the holomorphy of perturbation. Consequently, the convergence of eigenvalues and eigenfuncions which are expressed as formal power series is proved. We investigate also the relationship between $L...
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| Format: | Article |
| Language: | English |
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Texas State University
2004-02-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2004/15/abstr.html |
| _version_ | 1819139897632489472 |
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| author | Kouichi Takemura |
| author_facet | Kouichi Takemura |
| author_sort | Kouichi Takemura |
| collection | DOAJ |
| description | We apply a method of perturbation for the $BC_1$ Inozemtsev model from the trigonometric model and show the holomorphy of perturbation. Consequently, the convergence of eigenvalues and eigenfuncions which are expressed as formal power series is proved. We investigate also the relationship between $L^2$ space and some finite dimensional space of elliptic functions. |
| first_indexed | 2024-12-22T11:29:58Z |
| format | Article |
| id | doaj.art-051f14b685544621b8286ee78cd1ba20 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-22T11:29:58Z |
| publishDate | 2004-02-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-051f14b685544621b8286ee78cd1ba202022-12-21T18:27:39ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912004-02-01200415130The Heun equation and the Calogero-Moser-Sutherland system II: Perturbation and algebraic solutionKouichi TakemuraWe apply a method of perturbation for the $BC_1$ Inozemtsev model from the trigonometric model and show the holomorphy of perturbation. Consequently, the convergence of eigenvalues and eigenfuncions which are expressed as formal power series is proved. We investigate also the relationship between $L^2$ space and some finite dimensional space of elliptic functions.http://ejde.math.txstate.edu/Volumes/2004/15/abstr.htmlHeun equationCalogero-Moser-Sutherland systemInozemtsev modelperturbationKato-Rellich theorytrigonometric limitHeun functionalgebraic solution. |
| spellingShingle | Kouichi Takemura The Heun equation and the Calogero-Moser-Sutherland system II: Perturbation and algebraic solution Electronic Journal of Differential Equations Heun equation Calogero-Moser-Sutherland system Inozemtsev model perturbation Kato-Rellich theory trigonometric limit Heun function algebraic solution. |
| title | The Heun equation and the Calogero-Moser-Sutherland system II: Perturbation and algebraic solution |
| title_full | The Heun equation and the Calogero-Moser-Sutherland system II: Perturbation and algebraic solution |
| title_fullStr | The Heun equation and the Calogero-Moser-Sutherland system II: Perturbation and algebraic solution |
| title_full_unstemmed | The Heun equation and the Calogero-Moser-Sutherland system II: Perturbation and algebraic solution |
| title_short | The Heun equation and the Calogero-Moser-Sutherland system II: Perturbation and algebraic solution |
| title_sort | heun equation and the calogero moser sutherland system ii perturbation and algebraic solution |
| topic | Heun equation Calogero-Moser-Sutherland system Inozemtsev model perturbation Kato-Rellich theory trigonometric limit Heun function algebraic solution. |
| url | http://ejde.math.txstate.edu/Volumes/2004/15/abstr.html |
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