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math-ph2017
Finite sections of the Fibonacci Hamiltonian
Marko Lindner, Hagen Söding
We study finite but growing principal square submatrices of the one- or two-sided infinite Fibonacci Hamiltonian . Our results show that such a sequence , no matter…
math-ph2010★ 12 cited
Eigenvalue problem meets Sierpinski triangle: computing the spectrum of a non-self-adjoint random operator
Simon Chandler-Wilde, Ratchanikorn Chonchaiya, Marko Lindner
The purpose of this paper is to prove that the spectrum of the non-self-adjoint one-particle Hamiltonian proposed by J. Feinberg and A. Zee (Phys. Rev. E 59 (1999), 6433--6443) has…