I want to know the "state operator correspondence" in detail.

What i want to know is the correspondence of *S*1×*S*1 to *R*2 How the states and the operator match to each other?

I know that for *S*1×*S*1 via radial quantization one circle plays a role for time, which produce the states.

And for *R*2, we have operators.

But i don't know how these two (states in *S*1×*S*1 and operators in *R*2) match each other. Can you explain this in detail? (Recommendation of any references will be helpful to me!)

This post is imported from Physics StackExchange at 2016-06-02 04:57 (UTC) posted by SE User phy_math, SE users associated with first three comments below are , phy_math and respectively.