An unusual eigenvalue problem

Details An unusual eigenvalue problem An unusual eigenvalue problem

2004-11-10

arxiv.org/abs/math-ph/0411041v1

Acta Physica Polonica B 36, 5 (2005)

Physics

Mathematical Physics

Scientific paper

We discuss an eigenvalue problem which arises in the studies of asymptotic stability of a self-similar attractor in the sigma model. This problem is rather unusual from the viewpoint of the spectral theory of linear operators and requires special methods to solve it. One of such methods based on continued fractions is presented in detail and applied to determine the eigenvalues.

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