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Showing 1 to 2 of 2 for “"Symplectic transformations"”.
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Symplectic transformations and entanglement in finite quantum systems.
… in the position-momentum phase-space, and symplectic transformations are introduced and their properties are studied. Symplectic Sp(2l;Zp) trans- formations in l-partite finite system are explicit constructed. The general method is applied to bi-partite and tri-partite systems. The effect …
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Global normal forms and global properties in function spaces for second order Shubin type operators
… the isomorphism properties of normal form transformations, introduced by L. Hormander for the study of affine symplectic transformations acting on pseudodifferential operators, in spaces like the Schwartz class, the weighted Shubin-Sobolev spaces and the Gelfand-Shilov spaces. We prove that …