Scattering for time periodic Hamiltonians on graphs

2025/09/18 by Isozaki, Hiroshi, Evgeny, Korotyaev, L.
#FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2509.14719

Abstract

We develop a scattering theory for time-periodic Hamiltonians on discrete graphs, including long-range potentials with zero average for the period, and show the existence and completeness of wave operators.

Citations

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Related

• The discrete wave equation with applications to scattering theory and quantum chaos
• The number of eigenvalues of discrete Hamiltonian periodic in time
• Long-range scattering for discrete Schrödinger operators
• Absence of flat bands for discrete periodic graph operators with generic potentials
• Schrödinger operators on periodic discrete graphs