Commutators of spectral projections of spin operators
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2020
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| _version_ | 1866914068523122688 |
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| author | Shabtai, Ood |
| author_facet | Shabtai, Ood |
| contents | We present a proof that the operator norm of the commutator of certain spectral projections associated with spin operators converges to $\frac 1 2$ in the semiclassical limit. The ranges of the projections are spanned by all eigenvectors corresponding to positive eigenvalues. The proof involves the theory of Hankel operators on the Hardy space. A discussion of several analogous results is also included, with an emphasis on the case of finite Heisenberg groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2008_00221 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Commutators of spectral projections of spin operators Shabtai, Ood Mathematical Physics Representation Theory Symplectic Geometry We present a proof that the operator norm of the commutator of certain spectral projections associated with spin operators converges to $\frac 1 2$ in the semiclassical limit. The ranges of the projections are spanned by all eigenvectors corresponding to positive eigenvalues. The proof involves the theory of Hankel operators on the Hardy space. A discussion of several analogous results is also included, with an emphasis on the case of finite Heisenberg groups. |
| title | Commutators of spectral projections of spin operators |
| topic | Mathematical Physics Representation Theory Symplectic Geometry |
| url | https://arxiv.org/abs/2008.00221 |