Traces of creation-annihilation operators and Fredholm's formulas

Details Traces of creation-annihilation operators and Fredholm's formulas Traces of creation-annihilation operators and Fredholm's formulas

1997-03-09

arxiv.org/abs/q-alg/9703017v3

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, LaTex. Minor corrections

Scientific paper

We prove the formula for the traces of certain class of operators in bosonic and fermionic Fock spaces. Vertex operators belong to this class. Traces of vertex operators can be used for calculation of correlation functions and formfactors of integrable models (XXZ, Sine-Gordon, etc.), that is why we are interested in this problem. Also we show that Fredholm's minor and determinant can be expressed by such traces. We obtain a short proof of the Fredholm's formula for the solution of an integral equation. Analogue of Fredholm's formula in terms of permanents is obtained.

Affiliated with

Also associated with

No associations

Rating

Traces of creation-annihilation operators and Fredholm's formulas does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Traces of creation-annihilation operators and Fredholm's formulas, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Traces of creation-annihilation operators and Fredholm's formulas will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-710888