Quantum counterparts of three-dimensional real Lie algebras over harmonic oscillator

被引：2

作者：

Paal, Eugen ^{[1
]}

Virkepu, Jueri ^{[1
]}

机构：

[1] Tallinn Univ Technol, Dept Math, EE-19086 Tallinn, Estonia

来源：

CENTRAL EUROPEAN JOURNAL OF PHYSICS | 2010年 / 8卷 / 03期

关键词：

Harmonic oscillator; Gerstenhaber brackets; operadic Lax equation; Bianchi classification;

D O I：

10.2478/s11534-009-0123-8

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Operadic Lax representations for the harmonic oscillator are used to construct the quantum counterparts of three-dimensional (3D) real Lie algebras in Bianchi classification. The Jacobi operators of the quantum algebras are found.

引用

页码：289 / 295

页数：7

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