Direct Product

I would say that it's defined via the Taylor expansion. Can you give the explicit expression?

 

You mean something like

[itex]

G^{\otimes}

[/itex]
? I never saw such a thing, but I would then guess it's a notation for

[itex]
G \otimes G \otimes G \otimes \ldots \otimes G
[/itex]

Does that make sense in your context? Otherwise you should give the exact expression in LaTeX :)

 

t is defined either by a Taylor expansion or by an eigenfunction expansion.

 

There seems to be confusion in this thread (at least for me).

Please write down clearly, completely, and precisely what you mean, or give a reference to a text or paper which uses the notation that you want want clarified.

 

Do you mean "something like" or "exactly like"? You have to be precise.

Do you mean

[tex]\overset{k}{\otimes}V?[/tex]

This is standard notation for

[tex]V \otimes V \otimes \ldots \otimes V[/tex]

with [itex]V[/itex] repeated [itex]k[/itex] times.

 

It's the tensor product of N copies of rho.