3 papers
gr-qc2005★ 9 cited
On three quantization methods for particle on hyperboloid
Jean-Pierre Gazeau, Marc Lachieze-Rey, Wlodzimierz Piechocki
We compare the respective efficiencies of three quantization methods (group theoretical, coherent state and geometric) by quantizing the dynamics of a free massive particle in two-…
math-ph2003
Bernuau spline wavelets and Sturmian sequences
Miroslav Andrle, Cestmir Burdik, Jean-Pierre Gazeau
A spline wavelets construction of class C^n(R) supported by sequences of aperiodic discretizations of R is presented. The construction is based on multiresolution analysis recently…
quant-ph2003
Examples of Berezin-Toeplitz Quantization: Finite sets and Unit Interval
J. P. Gazeau, T. Garidi, E. Huguet +2
We present a quantization scheme of an arbitrary measure space based on overcomplete families of states and generalizing the Klauder and the Berezin-Toeplitz approaches. This schem…