Quantum Mechanics in Infinite Symplectic Volume
Isidro, J. M.
arXiv, 0304235 / Harvested from arXiv
Text on arXiv
We quantise complex, infinite-dimensional projective space CP(H). We apply the result to quantise a complex, finite-dimensional, classical phase space C whose symplectic volume is infinite, by holomorphically embedding it into CP(H). The embedding is univocally determined by requiring it to be an isometry between the Bergman metric on C and the Fubini-Study metric on CP(H). Then the Hilbert-space bundle over C is the pullback, by the embedding, of the Hilbert-space bundle over CP(H).
Publié le : 2003-04-28
Classification:  High Energy Physics - Theory,  Mathematical Physics,  Quantum Physics 
@article{0304235,
     author = {Isidro, J. M.},
     title = {Quantum Mechanics in Infinite Symplectic Volume},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0304235}
}

Isidro, J. M. Quantum Mechanics in Infinite Symplectic Volume. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0304235/