On the trace norm estimate of the Trotter product formula for Schrödinger operators
type: Item
instance of: scholarly article
title: On the trace norm estimate of the Trotter product formula for Schrödinger operators
zbMATH Open document ID: 0926.47028
author: Satoshi Takanobu
published in: Osaka Journal of Mathematics
publication date: 1999-09-14T00:00:00Z
review text: The author establishes a formula for the rate of convergence for the Trotter product formula for the Schrödinger operator \((-1/2)\Delta +V\) in the space \(L_2(\mathbb{R}^d)\) as \(t \rightarrow +0\). The nonnegative continuous potential \(V\) satisfies some general conditions. The estimate is given in the trace norm of the operator. The paper follows the lines of \textit{A. Doumeki}, \textit{T. Ichinose} and \textit{H. Tamura} [J. Math. Soc. Japan 50, 359-377 (1998; Zbl 0910.47031)] and presents more sharp bounds.
reviewed by: Hans-Dieter Alber
Mathematics Subject Classification ID: 47F05
Mathematics Subject Classification ID: 47E05
zbMATH DE Number: 1216677
zbMATH Keywords: Schrödinger operator
zbMATH Keywords: Trotter product formula
zbMATH Keywords: trace norm estimate
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1216677