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A geometric‐algebra treatment of the Feynman–Vernon–Hellwarth space in the two‐state problem

 

作者: Stephen Kennedy,   Robert Gamache,  

 

期刊: American Journal of Physics  （AIP Available online 1996）
卷期: Volume 64, issue 12  

页码: 1475-1482

 

ISSN:0002-9505

 

年代: 1996

 

DOI:10.1119/1.18418

 

出版商: American Association of Physics Teachers

 

关键词: DENSITY MATRIX;SCHROEDINGER EQUATION;CLIFFORD ALGEBRA;PAULI SPIN OPERATORS;EQUATIONS OF MOTION;02.;03.65

 

数据来源: AIP

 

摘要:

Pauli algebra is reviewed and then related to Dirac’s braket algebra and a generalization of the Wigner–Jordan operators in the two‐state problem. A method similar to the Feynman–Vernon–Hellwarth (FVH) method is developed from the Pauli algebra density operator. This yields a true geometric algebra treatment of the FVH space. The equation of motion for the density operator is developed from the Schrödinger equation. A general solution in laboratory coordinates is given. Ensemble effects are discussed.

 

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