Regular Spacings of Complex Eigenvalues in the One-dimensional non-Hermitian Anderson Model

Details Regular Spacings of Complex Eigenvalues in the One-dimensional non-Hermitian Anderson Model Regular Spacings of Complex Eigenvalues in the One-dimensional non-Hermitian Anderson Model

2002-09-02

arxiv.org/abs/math-ph/0209005v1

Commun. Math. Phys. Vol. 238 (2003) 505 -- 524

Physics

Mathematical Physics

21 pages, 1 figure

Scientific paper

10.1007/s00220-003-0854-0

We prove that in dimension one the non-real eigenvalues of the non-Hermitian Anderson (NHA) model with a selfaveraging potential are regularly spaced. The class of selfaveraging potentials which we introduce in this paper is very wide and in particular includes stationary potentials (with probability one) as well as all quasi-periodic potentials. It should be emphasized that our approach here is much simpler than the one we used before. It allows us a) to investigate the above mentioned spacings, b) to establish certain properties of the integrated density of states of the Hermitian Anderson models with selfaveraging potentials, and c) to obtain (as a by-product) much simpler proofs of our previous results concerned with non-real eigenvalues of the NHA model.

Affiliated with

Also associated with

No associations

Rating

Regular Spacings of Complex Eigenvalues in the One-dimensional non-Hermitian Anderson 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 Regular Spacings of Complex Eigenvalues in the One-dimensional non-Hermitian Anderson Model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Regular Spacings of Complex Eigenvalues in the One-dimensional non-Hermitian Anderson Model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-280929