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

共 21 条

[1]

[Anonymous], 2002, Classical Mechanics

[2] Giving up the ghost [J].

Bender, Carl M. ;

Mannheim, Philip D. .

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2008, 41 (30)

[3] Nonlinear canonical transformations in classical and quantum mechanics [J].

Brodlie, A .

JOURNAL OF MATHEMATICAL PHYSICS, 2004, 45 (08) :3413-3431

[4]

BRODLIE A, 2004, ARXIVQUANTPH0401160V, P36602

[5]

Dirac P. A. M., 1930, PRINCIPLES QUANTUM M

[6] FADDEEV-POPOV GHOSTS [J].

Faddeev, Ludvig Dmitrievich .

INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2010, 25 (06) :1079-1089

[7]

Hawking SW, 2002, PHYS REV D, V65, DOI 10.1103/PhysRevD.65.103515

[8]

HAWKING SW, 2001, ARXIVHEPTH0107088V2, P36602

[9] THE HIGGS-MODEL WITH A COMPLEX GHOST PAIR [J].

JANSEN, K ;

KUTI, J ;

LIU, C .

PHYSICS LETTERS B, 1993, 309 (1-2) :119-126

[10]

JANSENN K, 1993, ARXIVHEPLAT9305003V1, P36602

← 1 2 3 →