17 citations · 21 across the 3 of their papers we have counts for
4 papers · 1 filter
Smooth structures on the field of prequantum Hilbert spaces
Róbert Szőke
When there is a family of complex structures on the phase space, parametrized by a set , the prequantum Hilbert spaces produced by geometric quantization, using the half-form co…
Quantization of compact Riemannian symmetric spaces
Róbert Szőke
The phase space of a compact, irreducible, simply connected, Riemannian symmetric space admits a natural family of Kähler polarizations parametrized by the upper half plane . Us…
Curvature of fields of quantum Hilbert spaces
László Lempert, Róbert Szőke
We show that using the family of adapted Kähler polarizations of the phase space of a compact, simply connected, Riemannian symmetric space of rank-1, the obtained field …
Direct images, fields of Hilbert spaces, and geometric quantization
László Lempert, Róbert Szőke
Geometric quantization often produces not one Hilbert space to represent the quantum states of a classical system but a whole family of Hilbert spaces, and the question arise…