What is V-representable and how is it used?

[kof9595995]

what's "V-representable"

Just encountered this word, not sure what it means. I tried google and wiki, but didn't find any introductory articles, only some professional articles which mentioned this word.
Can someone introduce a bit?
P.S. I'm not even sure where to post question, for I haven't figured out whether it's more mathematical or physical, so I put it here, randomly.

 

[rochfor1]

Perhaps some context would be useful...

 

[HallsofIvy]

As rochfor1 says, we really need to know the context.

Until then I would guess that you are saying that group G has a representation as a group of linear transformations from vector space V to itself.

 

[kof9595995]

As rochfor1 says, we really need to know the context.

Until then I would guess that you are saying that group G has a representation as a group of linear transformations from vector space V to itself.

I think V refers to potential, I only found a definition(sort of, not quite formal) from an abstract of a article:
http://pra.aps.org/abstract/PRA/v47/i1/p153_1
"A particle-density distribution is said to be v-representable if it is the ground-state density for some potential v(r)"
And I don't understand it.

 

[HallsofIvy]

Then this has nothing to do with "Linear and Abstract Algebra"! In fact, it sounds like it is physics rather than mathematics.