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On the Pauli–Schrödinger equation

 

作者: Tim C. Chapman,   Octavio Cerceau,  

 

期刊: American Journal of Physics  （AIP Available online 1984）
卷期: Volume 52, issue 11  

页码: 994-997

 

ISSN:0002-9505

 

年代: 1984

 

DOI:10.1119/1.13914

 

出版商: American Association of Physics Teachers

 

关键词: DIRAC EQUATION;SPIN;GRAVITATIONAL FIELDS;THREE−DIMENSIONAL CALCULATIONS;QUANTUM MECHANICS;PAULI SPIN OPERATORS

 

数据来源: AIP

 

摘要:

Starting with the generally covariant Dirac equation we give equations showing that the spin of the Dirac particle couples directly with the background gravitational field. By restricting the metric to one describing a general 3‐space metric (no gravitation) we reduce the spin‐covariant Dirac equation to a two‐component theory. Finally, the general form for the Pauli–Schrödinger equation is derived for any 3‐space orthogonal curvilinear system of coordinates.

 

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