## Product of two spin operators

*By: Argielou A. Flores, MSU-IIT*

Show that

where \overrightarrow{S_1} and \overrightarrow{S_2} are spin operators of particle 1 and 2, respectively.

Solution:

We define the following:

Taking the product of the two operators

Introducing the ladder operators:

Multiplying the following,

Adding these two,

Substituting to , we then have:

May 21st, 2019 at 6:19 am

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