Generalized quantum stochastic processes on Fock space

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Stochastic integral representations of quantum martingales on multiple Fock space

In this paper a quantum stochastic integral representation theorem is obtained for unbounded regular martingales with respect to multidimensional quantum noise. This simultaneously extends results of Parthasarathy and Sinha to unbounded martingales and those of the author to multidimensions.

متن کامل

Quantum Field Theory on Fock Projective Space

It is shown that some analog of the “second quantization” exists in the framework of CP (N) theory. I analyse conditions under that “geometrical bosons” may be identified with real physical fields. The compact character of a state manifold should preserve the quantities of dynamical variables from divergences.

متن کامل

Fock Space Decomposition of Lévy Processes

We show that the general Levy process can be embedded in a suitable Fock space, classified by cocycles of the real line regarded as a group. The formula of de Finetti corresponds to coboundaries. Kolmogorov’s processes correspond to cocycles of which the derivative is a cocycle of the Lie algebra of R. The Lévy formula gives the general cocycle. 1 Cyclic representations of groups Let G be a gro...

متن کامل

Stop times in Fock Space Quantum Probability

We review Fock space based quantum probability and in particular the theory of stop times based on it. In the Fock space H = F(L2(R+)), a stop time may be defined as as a positive self-adjoint operator T = ∫ R+ λ dE(λ) whose spectral resolution (E(λ):λ ∈ R+) is adapted to the natural filtration based on the splittings F(L(R)) = F(L([0, λ[)⊗F(L([λ,∞[) Then if K is one of the basic quantum martin...

متن کامل

Quantum processes on phase space

Quantum theory predicts probabilities for various events as well as relative phases (interference or geometric) between different alternatives of the system. The most general description of the latter is in terms of the Pancharatnam phase. A unified description of both probabilities and phases comes through generalisation of the notion of a density matrix for histories; this object is the decoh...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Publications of the Research Institute for Mathematical Sciences

سال: 1995

ISSN: 0034-5318

DOI: 10.2977/prims/1195163920