Dirac worked out a formulation of quantum mechanics , which includes Erwin SchrÃ dinger 's wave mechanics and Werner Heisenberg 's matrix mechanics in 1926 . In that book , Dirac incorporated the previous work of Werner Heisenberg on matrix mechanics and of Erwin SchrÃ dinger on wave mechanics into a single mathematical formalism that associates measurable quantities to operators acting on the Hilbert space of vectors that describe the state of a physical system .