Moshinsky's shutter problem: an initial-value problem for the Klein-Gordon equation

被引：0
|
作者：
Martin, P. A. [1 ]
Kowalski, F. V. [2 ]
机构：
[1] Colorado Sch Mines, Dept Appl Math & Stat, Golden, CO 80401 USA
[2] Colorado Sch Mines, Dept Phys, Golden, CO 80401 USA
来源：
APPLICABLE ANALYSIS | 2012年 / 91卷 / 02期
关键词：
Klein-Gordon equation; asymptotic analysis; method of stationary phase; non-uniqueness;
D O I：
10.1080/00036811.2011.628942
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Moshinsky's problem is formulated and solved as a convolution integral. The initial data are discontinuous, giving the possibility of non-uniqueness. Asymptotic properties of the solution are deduced, using variants of the method of stationary phase. Comparisons are made with solutions of analogous problems for the one-dimensional wave equation and the Schrodinger equation.
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页码：309 / 322
页数：14
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