Quantum Ω-Semimartingales and Stochastic Evolutions
نویسندگان
چکیده
منابع مشابه
Controlled quantum evolutions and stochastic mechanics
We perform a detailed analysis of the non stationary solutions of the evolution Fokker Planck equations associated to either stationary or non stationary quantum states by the stochastic mechanics For the excited stationary states of quantum systems with singular velocity elds we explicitely discuss the exact solutions for the HO case Moreover the possibility of modi fying the original potentia...
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Examples of symmetric quantum semimartingales are easy to find, but essentially self-adjoint quantum semimartingales have, in general, proved elusive. This is not unexpected since a quantum semimartingale is in some sense an indefinite integral of a family of unbounded operators, and strong conditions are required to ensure that the sum of even two unbounded self-adjoint operators is self-adjoi...
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We study the nonstationary solutions of Fokker–Planck equations associated to either stationary or non stationary quantum states. In particular, we discuss the stationary states of quantum systems with singular velocity fields. We introduce a technique that allows arbitrary evolutions ruled by these equations to account for controlled quantum transitions. As a first signficant application we pr...
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2001
ISSN: 0022-1236
DOI: 10.1006/jfan.2001.3809