Poisson Spaces with a Transition Probability
نویسندگان
چکیده
منابع مشابه
Poisson Spaces with a Transition Probability
The common structure of the space of pure states P of a classical or a quantum mechanical system is that of a Poisson space with a transition probability. This is a topological space equipped with a Poisson structure, as well as with a function p : P×P → [0, 1], with certain properties. The Poisson structure is connected with the transition probabilities through unitarity (in a specific formula...
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This paper surveys and compares some recent approaches to stochastic infinite-dimensional geometry on the space Γ of configurations (i. e. locally finite subsets) of a Riemannian manifold M under Poisson measures. In particular, different approaches to Bochner– Weitzenböck formulas are considered. A unitary transform is also introduced by mapping functions of n configuration points to their mul...
متن کاملua nt - p h / 96 03 00 5 v 2 1 0 Ju n 19 96 Poisson spaces with a transition probability
The common structure of the space of pure states P of a classical or a quantum mechanical system is that of a Poisson space with a transition probability. This is a topological space equipped with a Poisson structure, as well as with a function p : P × P → [0, 1], with certain properties. The Poisson structure is connected with the transition probabilities through unitarity (in a specific formu...
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The common structure of the space of pure states P of a classical and a quantum mechanical system is that of a Poisson space with a transition probability. This is a uniform space equipped with a Poisson structure, as well as with a function p : P × P → [0, 1], with certain properties. The Poisson structure is connected with the transition probabilities through unitarity: each point ρ ∈ P defin...
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ژورنال
عنوان ژورنال: Reviews in Mathematical Physics
سال: 1997
ISSN: 0129-055X,1793-6659
DOI: 10.1142/s0129055x97000038