Deformation quantization is a mathematical framework that provides a way to associate noncommutative algebras to classical phase spaces, transforming classical observables into quantum observables through a process of deformation. This technique captures the essence of quantum mechanics in a geometric setting, where the usual commutation relations are expressed as deformations of the algebra of smooth functions on a manifold. It bridges classical and quantum theories by introducing a parameter that quantifies the level of noncommutativity in the algebra.
congrats on reading the definition of Deformation Quantization. now let's actually learn it.