Globally uniform semiclassical expressions for time-independent wave functions.

Globally uniform semiclassical expressions for time-independent wave functions.
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与时间无关的波函数的全局一致的半经典表达式。

DOI:
10.1103/physrevlett.76.1990
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发表时间:
1996
影响因子:
8.6
通讯作者:
Kay
Kay
中科院分区:
物理与天体物理1区
文献类型:
--
作者:
Zor;Kay

文献摘要

被引文献

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一个半经典的近似,它描述了与时间无关的波函数作为一个积分的拉格朗日流形与状态。所产生的功能是免费的焦散奇点,并满足薛定谔方程的错误,消失无处不在,一致的经典极限。一维系统的说明性计算。美国物理学会(American Physical Society)
A semiclassical approximation is presented which describes the time-independent wave function as an integral over the Lagrangian manifold associated with the state. The function produced is free of caustic singularities and satisfies the Schr{umlt o}dinger equation with an error that vanishes everywhere uniformly in the classical limit. Illustrative calculations are presented for one-dimensional systems. {copyright} {ital 1996 The American Physical Society.}