SEARCH FOR FIRST INTEGRALS IN RELATIVISTIC TIME-DEPENDENT HAMILTONIAN-SYSTEMS

被引：3

作者：

MARTIN, J ^{[1
]}

BOUQUET, S ^{[1
]}

机构：

[1] CEA,CTR ETUD VAUJOURS MORONVILLIERS,F-77181 COURTRY,FRANCE

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1994年 / 35卷 / 01期

关键词：

D O I：

10.1063/1.530786

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, first integrals of one-dimensional time-dependent relativistic Hamiltonians are looked for. In a first step, potentials for which the corresponding motion equations are completely integrable are found. In a second step, a more realistic potential described by the time-dependent relativistic harmonic oscillator is studied. It appears that it is not analytically integrable. However its asymptotic evolution systematically converges towards a classical evolution for which we can exhibit a first integral.

引用

页码：181 / 189

页数：9

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