Trace formulas for time periodic complex Hamiltonians on lattice

2021/01/09 by Evgeny Korotyaev, Korotyaev, Evgeny L. · 1 citation
Mathematics · Physics and Astronomy · #Spectral Theory in Mathematical Physics #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.2101.03370

Abstract

We consider time periodic Hamiltonians with complex potentials on the lattice and determine trace formulas. As a corollary we estimate eigenvalues of the quasienergy operator in terms of the norm of potentials.

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