Quantization on real analytic physical manifolds

New quantization rules are set up on real analytic physical manifolds, whose group of homeomorphisms is given by Sp(2n+2,R), i.e. the real symplectic space of 2(n+1) real dimensions. The new quantization corresponds to a physical process, which is obtained as a linear combination of λ[=(2mc2/e2)sup(1/2)]-times the Feynman process with a fundamental constant h, and μ[=(2mc/h)sup(1/2)]-times the Wiener process with the fundamental constant mD, where D=h/2mα, and the analogue 2h(with tilde) of h in the new quantization is defined by h(with tilde)=2 mc/α, where α is the fine structure constant. (author). 12 refs