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標(biāo)題: Titlebook: An Introduction to Quantum Stochastic Calculus; K. R. Parthasarathy Book 1992 Springer Basel AG 1992 Brownian motion.Excel.Poisson process [打印本頁(yè)]

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978-3-0348-9711-2Springer Basel AG 1992
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Monographs in Mathematicshttp://image.papertrans.cn/a/image/155445.jpg
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Book 1992ility theory into [a] quantum framework." – The American Mathematical Monthly ."This is an excellent volume which will be a valuable companion both for those who are already active in the field and those who are new to it. Furthermore there are a large number of stimulating exercises scattered throu
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Observables and States in Tensor Products of Hilbert Spaces,l projections in a Hubert space ?. . = 1, 2,…, .. Such an attempt leads us to consider tensor products of Hilbert spaces. We shall present a somewhat statistically oriented approach to the definition of tensor products which is at the same time coordinate free in character. To this end we introduce the notion of a positive definite kernel.
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Events, Observables and States,ing the subatomic world of elementary particles where the laws of classical mechanics break down and the distinction between a particle and a wave becomes vague. These methods lead to a generalisation of classical probability which may be described as a study of observable quantities concerning any
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,Stochastic Integration and Quantum Ito’s Formula,of the creation, conservation and annihilation operators in the boson Fock space Γ. (?) over a Hilbert space ?. This includes, in particular, the Brownian motion and Poisson process. Since a well-developed theory of stochastic integration with respect to these classical processes exists, it is natur
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,Stochastic Integration and Quantum Ito’s Formula,e of jumps is assumed more as a matter of mathematical convenience than a philosophical or conceptual necessity. We shall now examine how such a notion of time leads to a filtration and the definition of adapted processes.
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1017-0480 ion relations or, equivalently, the uncertainty principle..Quantum stochastic interpretation enables the possibility of seeing new relationships between fermion978-3-0348-9711-2978-3-0348-8641-3Series ISSN 1017-0480 Series E-ISSN 2296-4886
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