A NEW METHOD TO COMPUTE MATHIEU FUNCTIONS

被引：15

作者：

LINDNER, A ^{[1
]}

FREESE, H ^{[1
]}

机构：

[1] UNIV HAMBURG,INST THEORET PHYS 1,D-20355 HAMBURG,GERMANY

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1994年 / 27卷 / 16期

关键词：

D O I：

10.1088/0305-4470/27/16/021

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We propose to evaluate the Mathieu functions by their modulus and phase. The modulus is independent of the characteristic exponent. In our approach, this exponent can be evaluated by integration of a first-order differential equation. For the Hamiltonian of the time-dependent harmonic oscillator, we do not need this exponent, only the modulus.

引用

页码：5565 / 5571

页数：7

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