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October 1997 On the error estimate of the integral kernel for the Trotter product formula for Schrödinger operators
Satoshi Takanobu
Ann. Probab. 25(4): 1895-1952 (October 1997). DOI: 10.1214/aop/1023481116

Abstract

The error estimate of the integral kernel for the Trotter product formula for Schrödinger 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.

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Satoshi Takanobu. "On the error estimate of the integral kernel for the Trotter product formula for Schrödinger operators." Ann. Probab. 25 (4) 1895 - 1952, October 1997. https://doi.org/10.1214/aop/1023481116

Information

Published: October 1997
First available in Project Euclid: 7 June 2002

zbMATH: 0898.60064
MathSciNet: MR1487441
Digital Object Identifier: 10.1214/aop/1023481116

Subjects:
Primary: 60H30
Secondary: 60H10, 60J35, 60J65

Rights: Copyright © 1997 Institute of Mathematical Statistics

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Vol.25 • No. 4 • October 1997
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