WKB approach applied to 1D time-dependent nonlinear Hamiltonian oscillators

被引：3

作者：

Papamikos, Georgios ^{[1
]}

Robnik, Marko ^{[1
]}

机构：

[1] Univ Maribor, CAMTP, SI-2000 Maribor, Slovenia

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2012年 / 45卷 / 01期

关键词：

ADIABATIC INVARIANTS; ENERGY EVOLUTION;

D O I：

10.1088/1751-8113/45/1/015206

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present a simple WKB-like approach to obtain approximate analytic solutions to a certain class of time-dependent nonlinear 1D Hamiltonian oscillators. The case of homogeneous power-law potentials is solved explicitly in a closed form in the leading order. The accuracy of the approximation is surprisingly good and we illustrate it in the case of the quartic oscillator.

引用

页数：11