A Mathematical Justification for the Herman-Kluk Propagator

被引：0
|
作者：
Torben Swart
Vidian Rousse
机构：
[1] Freie Universität Berlin,
[2] Institut für Mathematik,undefined
来源：
Communications in Mathematical Physics | 2009年 / 286卷
关键词：
Coherent State; Canonical Transformation; Semiclassical Limit; Fourier Integral Operator; Zeroth Order Term;
D O I：
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学科分类号：
摘要：
A class of Fourier Integral Operators which converge to the unitary group of the Schrödinger equation in the semiclassical limit ε → 0 in the uniform operator norm is constructed. The convergence allows for an error bound of order O(ε), which can be improved to arbitrary order in ε upon the introduction of corrections in the symbol. On the Ehrenfest-timescale, the result holds with a slightly weaker error bound. In the chemical literature the approximation is known as the Herman-Kluk propagator.
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