Orthosymplectic diagonalization in Williamson's theorem
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916169512910848 |
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| author | Mishra, Hemant K. |
| author_facet | Mishra, Hemant K. |
| contents | In this paper, we provide an algebraic condition on any $2n \times 2n$ real symmetric positive definite matrix which is necessary and sufficient for the matrix to be diagonalized by an orthosymplectic matrix in the sense of Williamson's theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_11609 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Orthosymplectic diagonalization in Williamson's theorem Mishra, Hemant K. Functional Analysis Mathematical Physics Spectral Theory Quantum Physics 15B48, 15A18 In this paper, we provide an algebraic condition on any $2n \times 2n$ real symmetric positive definite matrix which is necessary and sufficient for the matrix to be diagonalized by an orthosymplectic matrix in the sense of Williamson's theorem. |
| title | Orthosymplectic diagonalization in Williamson's theorem |
| topic | Functional Analysis Mathematical Physics Spectral Theory Quantum Physics 15B48, 15A18 |
| url | https://arxiv.org/abs/2403.11609 |