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Conformally dual fields in relativistic classical and quantum mechanics

 

作者: Thomas P. Mitchell,  

 

期刊: American Journal of Physics  （AIP Available online 1996）
卷期: Volume 64, issue 9  

页码: 1158-1160

 

ISSN:0002-9505

 

年代: 1996

 

DOI:10.1119/1.18337

 

出版商: American Association of Physics Teachers

 

关键词: SCALAR FIELDS;FIELD THEORIES;CONFORMAL INVARIANCE;CONFORMAL MAPPING;KLEIN−GORDON EQUATION;HAMILTON−JACOBI EQUATIONS;CENTRAL POTENTIAL;CANONICAL TRANSFORMATIONS;03.20;03.65;03.50;03.70

 

数据来源: AIP

 

摘要:

The conditions governing the existence of conformally dual scalar fields in both classical and quantum theories are derived. The transformation properties of the Hamilton–Jacobi and Klein–Gordon equations under conformal mappings are established and utilized as the basis for the analysis. The existence of self‐dual fields is demonstrated and examples are presented. Previously known results applicable to the Schrödinger equation and to Newtonian mechanics are shown to follow in the nonrelativistic limit as special cases of the present study.

 

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