On the error estimate of the integral kernel for the Trotter product formula for Schrödinger operators
On the error estimate of the integral kernel for the Trotter product formula for Schrödinger operators
复制标题
薛定谔算子Trotter乘积公式积分核的误差估计
DOI：
10.1214/aop/1023481116
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发表时间：
1997
影响因子：
2.3
通讯作者：
Satoshi Takanobu
中科院分区：
文献类型：
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作者：
Satoshi Takanobu
显示了薛定谔算子的 Trotter 乘积公式的积分核的误差估计。实现此目的的基本工具是基于固定布朗运动的 Feynman-Kac 公式。这个公式使我们能够以可处理的形式表达积分核，从而对其进行估计。由此得到 L p 算子范数下的 Trotter 乘积公式。
The error estimate of the integral kernel for the Trotter product formula for Schrodinger operators is shown. A basic tool for doing so is the Feynman-Kac formula based on the pinned Brownian motion. This formula enables us to express the integral kernel in handleable form and hence estimate it. As a consequence the Trotter product formula in the L p operator norm is obtained.