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• W3205615860 abstract "We study discrete Schrodinger operators $H$ with periodic potentials as they are typically used to approximate aperiodic Schrodinger operators like the Fibonacci Hamiltonian. We prove an efficient test for applicability of the finite section method, a procedure that approximates $H$ by growing finite square submatrices $H_n$. For integer-valued potentials, we show that the finite section method is applicable as soon as H is invertible. This statement remains true for ${0, lambda}$-valued potentials with fixed rational $lambda$ and period less than nine as well as for arbitrary real-valued potentials of period two." @default.
• W3205615860 created "2021-10-25" @default.
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• W3205615860 date "2021-10-18" @default.
• W3205615860 modified "2023-09-27" @default.
• W3205615860 title "Finite Sections of Periodic Schrödinger Operators." @default.
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• W3205615860 hasPublicationYear "2021" @default.
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