On the Weyl Representation of Metaplectic Operators
β Scribed by Maurice A. De. Gosson
- Publisher
- Springer
- Year
- 2005
- Tongue
- English
- Weight
- 142 KB
- Volume
- 72
- Category
- Article
- ISSN
- 0377-9017
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π SIMILAR VOLUMES
We construct reflection and translation operators on the Hilbert space corresponding to the torus by projecting them from the plane. These operators are shown to have the same group properties as their analogues on the plane. Decomposition of operators on the basis of reflections corresponds to the
The metaplectic covariance for all forms of the Weyl Wigner Groenewold Moyal quantization is established with different realizations of the inhomogeneous symplectic algebra. Beyond that, in its most general form W -covariance of this quantization scheme is investigated, and explicit expressions for