Hi there(adsbygoogle = window.adsbygoogle || []).push({});

I am working through the problems in R.I.G. Hughes book the structure and interpretation of quantum mechanics and have hit a wall in the last part of the following question:

Show that Sx and Sy do not commute, and evaluate SxSy-SySx. Express this difference in terms of Sz,and show that this relation holds cyclically among the three operators.

I guess it has something to do with cyclic permutation. Any way thanks for your time and if you know where I can find the answers to the problems in this book that would help me later I suppose.

S[itex]_{}[/itex]x= 1/2 [itex]\left([/itex]0 1

10[itex]\right)[/itex] S[itex]_{}[/itex]y= 1/2 [itex]\left([/itex]0 -i

i 0[itex]\right)[/itex] S[itex]_{}[/itex]z= 1/2 [itex]\left([/itex]1 0

0 -1[itex]\right)[/itex]

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# Cyclic permutation and operators

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