I don't think there is any, for a reason: there is a paradigm shift from Quantum Mechanics to Quantum Field Theory. see http://physics.stackexchange.com/a/20387/6432 .
In Quantum Mechanics, all the dynamical variables are treated on an equal footing, and the number of particles is fixed. There is no annihilation or pair-creation. The Hilbert space is the space of states of, e.g, 27 electrons, neither more nor less. The observables are operators on that space. But in Quantum Field Theory, the number of particles is treated as an operator, and there are creation and annihilation operators, and one switches to treating the state of a field as a function on space-time whose values are field observables. The observables are no longer studied as operating on the space of such functions, and researchers tend to ignore Hilbert space aspects of it. See also Quantum Field Theory Variants for a discussion of QFT, and What's the exact connection between bosonic Fock space and the quantum harmonic oscillator? for a short discussion of how Fock space replaces, in QFT, the usual one-particle Hilbert Space of QM, in order to allow the number of particles to change as some get annihilated.