141 citations · 790 across the 75 of their papers we have counts for
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math-ph2021★ 11 cited
The landscape law for tight binding Hamiltonians
Douglas N. Arnold, Marcel Filoche, Svitlana Mayboroda +2
The present paper extends the landscape theory pioneered in [FM, ADFJM2, DFM] to the tight-binding Schrödinger operator on . In particular, we establish upper and lower bound…
math-ph2021★ 19 cited
The effective potential of an -matrix
Marcel Filoche, Svitlana Mayboroda, Terence Tao
In the presence of a confining potential , the eigenfunctions of a continuous Schrödinger operator decay exponentially with the rate governed by the part of which is…