Asymptotics of unitary matrix elements in canonical bases
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909197428326400 |
|---|---|
| author | Ioos, Louis |
| author_facet | Ioos, Louis |
| contents | We compute the asymptotics of matrix elements in canonical bases of irreducible representations of the unitary group as the highest weight goes to infinity, in terms of the symplectic geometry of the associated coadjoint orbit. This uses tools of Berezin-Toeplitz quantization, and recovers as a special case the asymptotics of Wigner's d-matrix elements for the spin representations in quantum mechanics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_06137 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Asymptotics of unitary matrix elements in canonical bases Ioos, Louis Representation Theory Mathematical Physics Differential Geometry Symplectic Geometry We compute the asymptotics of matrix elements in canonical bases of irreducible representations of the unitary group as the highest weight goes to infinity, in terms of the symplectic geometry of the associated coadjoint orbit. This uses tools of Berezin-Toeplitz quantization, and recovers as a special case the asymptotics of Wigner's d-matrix elements for the spin representations in quantum mechanics. |
| title | Asymptotics of unitary matrix elements in canonical bases |
| topic | Representation Theory Mathematical Physics Differential Geometry Symplectic Geometry |
| url | https://arxiv.org/abs/2405.06137 |