科研之友
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摘要
The short time dynamics of the semiclassical initial value separation are studied analytically for a one dimensional system. We find that at short times the approximation introduces spurious errors 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.
- 出版日期2002-4-8
