Eigenvector and eigenvalue problem for 3D bosonic model

Details Eigenvector and eigenvalue problem for 3D bosonic model Eigenvector and eigenvalue problem for 3D bosonic model

1998-02-14

arxiv.org/abs/solv-int/9802012v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

LaTeX, 18 pages

Scientific paper

In this paper we reformulate free field theory models defined on the rectangular $D+1$ dimensional lattices as $D+1$ evolution models. This evolution is in part a simple linear evolution on free (``creation'' and ``annihilation'') operators. Formal eigenvectors of this linear evolution can be directly constructed, and them play the role of the ``physical'' creation and annihilation operators. These operators being completed by a ``physical'' vacuum vector give the spectrum of the evolution operator, as well as the trace of the evolution operator give a correct expression for the partition function. As an example, Bazhanov -- Baxter's free bosonic model is considered.

Affiliated with

Also associated with

No associations

Rating

Eigenvector and eigenvalue problem for 3D bosonic model 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 Eigenvector and eigenvalue problem for 3D bosonic model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Eigenvector and eigenvalue problem for 3D bosonic model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-585262