通过Toy Fock空间的近似-真空适应观点
Approximation via toy Fock space - the vacuum-adapted viewpoint
摘要：
在回顾了玻色子-福克空间（任意重数）如何可以近似为一个可数的希尔伯特空间张量积（称为玩具-福克空间）之后，证明了有界算子的真空适应多量子维纳积分可以表示为定义在这个玩具空间上的算子和的极限，在指数域上具有强收敛性。真空适应的量子伊藤乘积公式推导出这种近似的援助和一个简短的指针是朝着无界的情况下。
英文摘要：
After a review of how Boson Fock space (of arbitrary multiplicity) may be approximated by a countable Hilbert-space tensor product (known as toy Fock space) it is shown that vacuum-adapted multiple quantum Wiener integrals of bounded operators may be expressed as limits of sums of operators defined on this toy space, with strong convergence on the exponential domain. The vacuum-adapted quantum Ito product formula is derived with the aid of this approximation and a brief pointer is given towards the unbounded case.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
