Weyl correspondence and P-representation as operator Fredholm equations and their solutions
Hong-Yi Fan, John R. Klauder · Journal of Physics A Mathematical and General · 2006
Using the technique of integration within an ordered product of operators we construct operator Fredholm equations, which can help us to re-formulize the Weyl correspondence and P-representation. We then search for their solutions which present new formulae for deriving quantum operators' Weyl classical correspondence and P-representation. As the application, we deduce some new relations about the two-variable Hermite polynomials.