UNIVERSITY OF BUCHAREST
FACULTY OF PHYSICS

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2024-11-22 2:33

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Conference: Bucharest University Faculty of Physics 2003 Meeting


Section: Statistical Physics and Quantum Mechanics Seminar


Title:
Krein Formula for the Resolvent of Floquet Hamiltonians with Fermi Pseudopotentials


Authors:
Victor Dinu


Affiliation:
Department of Physics, University of Bucharest


E-mail


Keywords:


Abstract:
The aim of our study is to solve the Floquet problem for systems with zero-range interactions, by means of Krein`s resolvent formula. Two types of 1D&3D systems are considered: a) N periodically modulated Fermi pseudopotentials and b) N fixed strength Fermi pseudopotentials, plus a periodical electromagnetic field, in the dipole approximation. We show that, besides the Floquet resolvent, the wave and scattering operators and the 1D transmission and reflection coefficients get simple expressions