2012年10月

# Avron-Herbst Type Formula in Crossed Constant Magnetic and Time-Dependent Electric Fields

LETTERS IN MATHEMATICAL PHYSICS
• ,
• Masaki Kawamoto

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DOI
10.1007/s11005-012-0555-8

SPRINGER

In this paper, we give an Avron-Herbst type formula for the propagator generated by the free Hamiltonian with crossed constant magnetic and time-dependent electric fields. As an application of the formula, we give a result of the existence of the wave operators under some appropriate conditions on the time-dependent electric field and the potential. Finally, in the case where the electric field is time-independent, we consider the problem of the asymptotic completeness of the wave operators.

Web of Science ® 被引用回数 : 1

リンク情報
DOI
https://doi.org/10.1007/s11005-012-0555-8
Web of Science