Definitive
发表于 2025-3-27 00:39:38
Fock Space (2): Multiple Fock Spaces,copies of ℌ,and new definitions are not necessary in principle. However, this chapter contains important new ., and a few rather interesting constructions, like that of the “finite-temperature” (= extremal universally invariant) representations of the CCR. In classical probability, it corresponds to
抗生素
发表于 2025-3-27 02:00:37
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Palatial
发表于 2025-3-27 06:59:21
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Hypomania
发表于 2025-3-27 12:33:37
Book 19931st editionlains the addition "for probabilists" in the title : though much of the material is accessible to the general public, I did not care to redefine Brownian motion or the Ito integral. More precisely than "Quantum Probability" , the main topic is "Quantum Stochastic Calculus" , a field which has recently got official recognition as 81825 in the Math.
Culmination
发表于 2025-3-27 17:37:05
Fock Space (1), with the Poisson interpretation of Fock space, and the operator interpretation of the Poisson multiplication. We conclude with multiplication formulas, and the useful analogy with “toy Fock space” in chapter II, which leads to the antisymmetric (Clifford) multiplications. All these operations are special cases of Maassen’s kernel calculus (§4).
打火石
发表于 2025-3-27 21:05:02
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完成才会征服
发表于 2025-3-27 23:45:48
Fock Space (2): Multiple Fock Spaces,ions, like that of the “finite-temperature” (= extremal universally invariant) representations of the CCR. In classical probability, it corresponds to the passage from one-dimensional to several-dimensional Brownian motion, necessary for Ito’s theory of stochastic differential equations.
使尴尬
发表于 2025-3-28 02:04:54
Stochastic Calculus in Fock Space,ngales. Its physical motivation is quantum mechanical evolution in the presence of a “quantum noise”. Stochastic calculus has also been developed for fermions in a series of papers by Barnett, Streater and Wilde , and in abstract versions by Accardi, Fagnola, Quaegebeur.
Biofeedback
发表于 2025-3-28 06:52:14
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CT-angiography
发表于 2025-3-28 10:59:30
Book 19931st editionve probabilists. The text, a first version of which appeared in successive volumes of the Seminaire de Probabilite8, has been augmented and carefully rewritten, and translated into international English. Still, it remains true "Lecture Notes" material, and I have resisted suggestions to publish it a