The coherent states: old geometrical methods in new quantum clothes
| dc.creator | Berceanu, Stefan | |
| dc.date | 1994-08-02 | |
| dc.date.accessioned | 2026-07-07T04:20:24Z | |
| dc.date.available | 2026-07-07T04:20:24Z | |
| dc.description | A geometric characterization of transition amplitudes between coherent states, or equivalently, of the hermitian scalar product of holomorphic cross sections in the associated D - M tilda - module, in terms of the embedding of the cohe- rent state manifold M-tilda into a projective Hilbert space is proposed. Cohe- rent state manifolds endowed with a homogeneous kaehler structure are conside- red. Using the coherent state approach, an effective method to find the cut loci on symmetric manifolds and generalized symmetric manifolds M-tilda is proposed. The CW - complex structure of coherent state manifolds of flag type is discussed. Recent results of Anandan and Aharonov are commented vis-a-vis of last century constructions in projective geometry. Calculations with signi- ficance in coherent state approch furnish explicit proofs of the results announ- ced by Y. C. Wong on conjugate locus in complex Grassmann manifold. | |
| dc.description | 4 pages, FT-398-1994 | |
| dc.identifier | https://arxiv.org/abs/hep-th/9408008 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9408008 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/53936 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | The coherent states: old geometrical methods in new quantum clothes | |
| dc.type | text |