Highly accurate calculation of the real and complex eigenvalues of one-dimensional anharmonic oscillators
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arXiv
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| Format: | Preprint |
| Published: |
2015
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| _version_ | 1866909428566982656 |
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| author | Fernández, Francisco M. Garcia, Javier |
| author_facet | Fernández, Francisco M. Garcia, Javier |
| contents | We draw attention on the fact that the Riccati-Padé method developed some time ago enables the accurate calculation of bound-state eigenvalues as well as of resonances embedded either in the continuum or in the discrete spectrum. We apply the approach to several one-dimensional models that exhibit different kind of spectra. In particular we test a WKB formula for the imaginary part of the resonance in the discrete spectrum of a three-well potential. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_1511_08799 |
| institution | arXiv |
| publishDate | 2015 |
| record_format | arxiv |
| spellingShingle | Highly accurate calculation of the real and complex eigenvalues of one-dimensional anharmonic oscillators Fernández, Francisco M. Garcia, Javier Quantum Physics Mathematical Physics We draw attention on the fact that the Riccati-Padé method developed some time ago enables the accurate calculation of bound-state eigenvalues as well as of resonances embedded either in the continuum or in the discrete spectrum. We apply the approach to several one-dimensional models that exhibit different kind of spectra. In particular we test a WKB formula for the imaginary part of the resonance in the discrete spectrum of a three-well potential. |
| title | Highly accurate calculation of the real and complex eigenvalues of one-dimensional anharmonic oscillators |
| topic | Quantum Physics Mathematical Physics |
| url | https://arxiv.org/abs/1511.08799 |