ASYMPTOTIC (SHORT-WAVE) EQUIVALENCE OF ONE-DIMENSIONAL SCHRODINGER-EQUATIONS BY FORMAL CANONICAL-TRANSFORMATIONS AND ITS GENERALIZATIONS

被引：7

作者：

AQUILANTI, V ^{[1
]}

CAVALLI, S ^{[1
]}

SEVRYUK, MB ^{[1
]}

机构：

[1] MOSCOW ENERGY PROBLEMS CHEM PHYS INST, MOSCOW 117829, USSR

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1991年 / 24卷 / 19期

关键词：

D O I：

10.1088/0305-4470/24/19/013

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We define the asymptotic equivalence of systems of two ordinary first-order differential equations with an arbitrary finite number and multiplicities of turning points. The theory is exemplified by the short-wave (semiclassical) equivalence of time-independent one-dimensional Schrodinger equations. We describe the set of all transformation matrices realizing the equivalence; the use of their determinant properties simplifies the calculations needed for applications. For the particular case of Schrodinger equations the transformation matrix can be chosen to be canonical.

引用

页码：4475 / 4494

页数：20

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