arXiv subjects

R. Purice

Publications and source records attributed to R. Purice.

2 recordsLinked to original sources

arXiv2014

On Fréchet-Hilbert Algebras

We consider Hilbert algebras with a supplementary Fréchet topology and get various extensions of the algebraic structure by using duality techniques. In particular we obtain optimal multiplier-type involutive algebras, which in applications are large enough to be of significant practical use. The setting covers many situations arising from quantization rules, as those involving square-integrable families of bounded operators.

math.FA↗

arXiv2010

Positive Quantization in the Presence of a Variable Magnetic Field

Starting with a previously constructed family of coherent states, we introduce the Berezin quantization for a particle in a variable magnetic field and we show that it constitutes a strict quantization of a natural Poisson algebra. The phase-space reinterpretation involves a magnetic version of the Bargmann space and leads naturally to Berezin-Toeplitz operators.

math-ph↗