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Room P4.35, Mathematics Building
Nuno Costa Dias, Universidade Lusófona and GFM, Universidade de Lisboa
Quantum mechanics in phase space: The Schrödinger and the Moyal
representations
I will present some recent results on the dimensional extension of
pseudo-differential operators. Using this formalism it is possible
to generalize the standard Weyl quantization and obtain, in a
systematic way, several phase space (operator) representations of
quantum mechanics. I will present the Schrodinger and the Moyal
phase space representations and discuss some of their properties,
namely in what concerns the relation with deformation quantization.