Construction of Schrodinger invariant equations in three-dimensional space-time

被引：0

作者：

Güngör, F ^{[1
]}

机构：

[1] Istanbul Tech Univ, Fac Sci, Dept Math, TR-80626 Istanbul, Turkey

来源：

PROCEEDINGS OF THE WORKSHOP ON NONLINEARITY, INTEGRABILITY AND ALL THAT: TWENTY YEARS AFTER NEEDS '79 | 2000年

关键词：

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We discuss realizations of the Galilei, Galilei-similitude and Schrodinger Lie algebras in three dimensional space-time in terms of vector fields under the action of the group of local diffeomorphisms of the space R-3 X C As an application of these realizations we construct some general second order invariant evolution equations and show that various physically interesting equations proposed as generalizations of the free Schrodinger equation are obtained as special cases.

引用

页码：296 / 303

页数：8

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