Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics and physics, in the area of quantum mechanics, Weyl quantization is a method for systematically associating a "quantum mechanical" Hermitian operator with a "classical" distribution in phase space invertibly. A synonym is phase-space quantization. The crucial correspondence map from phase-space functions to Hilbert-space operators underlying the method is called the Weyl transformation, (not to be confused with a different definition of the Weyl transformation), and was first detailed by Hermann Weyl in 1927.