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A study of the semiclassical initial value representation at short times

机译:短时半经典初始值表示的研究

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The short time dynamics of the semiclassical initial value separation are studied analytical for a one dimensional system. We find that at short times the approximation introduces spurious erros that depend on h and result from the anharmonic part of the potential. This is in contrast to classical mechanics which gives the first three initial time derivatives of a coordinate dependent operator exactly. Consideration of a model system shows, though, that the error introduced is not very large and that for times which are longer than a typical period of classical motion, semiclassical initial value representation propagation is superior to classical time propagation.
机译:研究了一维系统的半经典初始值分离的短时动力学。我们发现,在短时间内,近似值会引入虚假的误差,该误差取决于h,并且是由势的非谐部分引起的。这与经典力学相反,经典力学精确给出了与坐标相关的算子的前三个初始时间导数。但是,对模型系统的考虑表明,引入的误差不是很大,并且对于比经典运动的典型周期更长的时间,半经典初始值表示传播要优于经典时间传播。

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