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Geometry of the Schmidt decomposition and Hardy’s theorem

 

作者: P. K. Aravind,  

 

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

页码: 1143-1150

 

ISSN:0002-9505

 

年代: 1996

 

DOI:10.1119/1.18334

 

出版商: American Association of Physics Teachers

 

关键词: WAVE FUNCTIONS;HILBERT SPACE;BELL THEOREM;SPIN;FUNCTIONAL ANALYSIS;QUANTUM MECHANICS;TWO−BODY PROBLEM;03.65

 

数据来源: AIP

 

摘要:

The Schmidt decomposition theorem allows us to express an entangled wave function of two quantum systems in a particularly simple form. The purpose of this paper is to describe a geometrical method of performing the Schmidt decomposition that complements the usual algebraic method. This geometrical method is worked out in detail for a pair of spin‐1/2 particles and its utility is illustrated by giving a simple discussion of several aspects of Hardy’s version of Bell’s theorem.

 

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