Synthesis of a quantum tree Weyl matrix
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866929552507273216 |
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| author | Avdonin, Sergei A. Khmelnytskaya, Kira V. Kravchenko, Vladislav V. |
| author_facet | Avdonin, Sergei A. Khmelnytskaya, Kira V. Kravchenko, Vladislav V. |
| contents | A method for successive synthesis of a Weyl matrix (or Dirichlet-to-Neumann map) of an arbitrary quantum tree is proposed. It allows one, starting from one boundary edge, to compute the Weyl matrix of a whole quantum graph by adding on new edges and solving elementary systems of linear algebraic equations in each step. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_01911 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Synthesis of a quantum tree Weyl matrix Avdonin, Sergei A. Khmelnytskaya, Kira V. Kravchenko, Vladislav V. Spectral Theory Mathematical Physics Classical Analysis and ODEs 34B45 A method for successive synthesis of a Weyl matrix (or Dirichlet-to-Neumann map) of an arbitrary quantum tree is proposed. It allows one, starting from one boundary edge, to compute the Weyl matrix of a whole quantum graph by adding on new edges and solving elementary systems of linear algebraic equations in each step. |
| title | Synthesis of a quantum tree Weyl matrix |
| topic | Spectral Theory Mathematical Physics Classical Analysis and ODEs 34B45 |
| url | https://arxiv.org/abs/2308.01911 |