Quantization of classical mechanics: Shall we lie?

被引：11

作者：

Nucci, M. C. ^{[1
,2
]}

机构：

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

[2] Ist Nazl Fis Nucl, Sez Perugia, I-06100 Perugia, Italy

来源：

THEORETICAL AND MATHEMATICAL PHYSICS | 2011年 / 168卷 / 01期

关键词：

quantization; Ostrogradsky method; Schrodinger equation; Lie symmetry; Noether symmetry; SYMMETRIES;

D O I：

10.1007/s11232-011-0081-3

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We propose a Lie-Noether-symmetry solution of two problems that arise with classical quantization: the quantization of higher-order (more than second) Euler-Lagrange ordinary differential equations of classical mechanics and the quantization of any second-order Euler-Lagrange ordinary differential equation that classically comes from a simple linear equation via nonlinear canonical transformations.

引用

页码：994 / 1001

页数：8

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