19 Sep 2001

Valentin Lychagin "On classical quantum mechanics".

We will continue discussion of classical quantum mechanics, which we represent as a map π: B(Ω)→ Proj(H), where Ω is spectrum of an algebra A of operators acting on a Hilbert space H, B(Ω) its Borel algebra and Proj(H) is the orthomodular lattice of H-projectors. The operators algebra is restored from this arrow by the formula A_f=∫_Ωf(λ)dπ_λ. We shall discuss the scheme and examples for different spectra Ω=Spec(A).