Construction of a transmutation for the one-dimensional Schrödinger operator and a representation for solutions
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2016
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| _version_ | 1866913558324838400 |
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| author | Kravchenko, Vladislav V. |
| author_facet | Kravchenko, Vladislav V. |
| contents | A new representation for solutions of the one-dimensional Schrödinger equation -u"+q(x)u=w^2u is obtained in the form of a series possessing the following attractive feature. The truncation error is w-independent for all real w. For the coefficients of the series simple recurrent integration formulas are obtained which make the new representation applicable for computation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1612_09577 |
| institution | arXiv |
| publishDate | 2016 |
| record_format | arxiv |
| spellingShingle | Construction of a transmutation for the one-dimensional Schrödinger operator and a representation for solutions Kravchenko, Vladislav V. Mathematical Physics Classical Analysis and ODEs A new representation for solutions of the one-dimensional Schrödinger equation -u"+q(x)u=w^2u is obtained in the form of a series possessing the following attractive feature. The truncation error is w-independent for all real w. For the coefficients of the series simple recurrent integration formulas are obtained which make the new representation applicable for computation. |
| title | Construction of a transmutation for the one-dimensional Schrödinger operator and a representation for solutions |
| topic | Mathematical Physics Classical Analysis and ODEs |
| url | https://arxiv.org/abs/1612.09577 |