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math-ph2020
Stationary scattering theory for -body Stark operators, II
K. Ito, E. Skibsted
We study and develop the stationary scattering theory for a class of one-body Stark Hamiltonians with short-range potentials, including the Coulomb potential, continuing our study…
math-ph2020
Hypergeometric expression for the resolvent of the discrete Laplacian in low dimensions
Kenichi Ito, Arne Jensen
We present an explicit formula for the resolvent of the discrete Laplacian on the square lattice, and compute its asymptotic expansions around thresholds in low dimensions. As a by…