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.
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页码：994 / 1001
页数：8
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