Berezin-Toeplitz quantization over matrix domains
| dc.creator | Ali, S. Twareque | |
| dc.creator | Englis, M. | |
| dc.date | 2006-02-06 | |
| dc.date.accessioned | 2026-07-07T07:02:57Z | |
| dc.date.available | 2026-07-07T07:02:57Z | |
| dc.description | We explore the possibility of extending the well-known Berezin-Toeplitz quantization to reproducing kernel spaces of vector-valued functions. In physical terms, this can be interpreted as accommodating the internal degrees of freedom of the quantized system. We analyze in particular the vector-valued analogues of the classical Segal-Bargmann space on the domain of all complex matrices and of all normal matrices, respectively, showing that for the former a semi-classical limit, in the traditional sense, does not exist, while for the latter only a certain subset of the quantized observables have a classical limit: in other words, in the semiclassical limit the internal degrees of freedom disappear, as they should. We expect that a similar situation prevails in much more general setups. | |
| dc.description | 28 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/math-ph/0602015 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0602015 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/108790 | |
| dc.subject | Mathematical Physics | |
| dc.title | Berezin-Toeplitz quantization over matrix domains | |
| dc.type | text |