BEREZIN QUANTIZATION OF THE SCHRÖDINGER ALGEBRA
BEREZIN QUANTIZATION OF THE SCHRÖDINGER ALGEBRA
We examine the Schrödinger algebra in the framework of Berezin quantization. First, the Heisenberg–Weyl and sl(2) algebras are studied. Then the Berezin representation of the Schrödinger algebra is computed. In fact, the sl(2) piece of the Schrödinger algebra can be decoupled from the Heisenberg component. This is accomplished using a …