Classical integrals as quantum mechanical differential operators: a comparison with the symmetries of the Schrodinger Equation

被引：1

作者：

Nucci, M. C. ^{[1
]}

Leach, P. G. L. ^{[1
]}

机构：

[1] Univ Perugia, Dept Matemat & Informat, I-06100 Perugia, Italy

来源：

SYMMETRIES IN SCIENCE XVI | 2014年 / 538卷

关键词：

D O I：

10.1088/1742-6596/538/1/012017

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Superintegrable systems are characterised by the possession of many symmetries and integrals. We use the simple harmonic oscillator as an example and examine the relationship between the Noetherian integrals of a given Lagrangian as quantum operators and the Lie symmetries of the corresponding Schrodinger Equation.

引用

页数：7

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