Quantum Computation and Information Seminar 

23/09/2011, 15:00 — 16:00 — Room P4.35, Mathematics Building
João Nuno Prata, U Lusófona

Weyl-Wigner formulation of quantum mechanics

I give an overview of the Weyl-Wigner formulation for quantum non-relativistic spinless particles. The main tool of the quantization procedure is the Weyl correspondence rule. Weyl pseudodifferential operators associated with various symbol classes are introduced. The advantages of Weyl quantization over other quantization prescriptions is discussed. The Wigner distribution is basically the symbol of a positive trace-class operator. I study the main properties of Wigner functions and show how they relate to classical Liouville probability measures.