Resonances Width in Crossed Electric and Magnetic Fields

Details Resonances Width in Crossed Electric and Magnetic Fields Resonances Width in Crossed Electric and Magnetic Fields

2003-03-12

arxiv.org/abs/math-ph/0303029v1

Physics

Mathematical Physics

3 figures

Scientific paper

10.1088/0305-4470/37/31/003

We study the spectral properties of a charged particle confined to a
two-dimensional plane and submitted to homogeneous magnetic and electric fields
and an impurity potential. We use the method of complex translations to prove
that the life-times of resonances induced by the presence of electric field are
at least Gaussian long as the electric field tends to zero.

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