Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Jordan blocks and the Bethe ansatz I: The eclectic spin chain as a limit   We present a procedure to extract the generalised eigenvectors of a
non-diagonalisable matrix by considering a diagonalisable perturbation of it
and computing the non-diagonalisable limit of its eigenvectors. As an example
of this process, we compute a subset of the spectrum of the eclectic spin chain
by means of the Nested Coordinate Bethe Ansatz. This allows us to show that the
Bethe Ansatz of the finitely twisted spin chain contains enough information to
reconstruct the generalised eigenvectors of the eclectic spin chain.

18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys