Existence of resonances in magnetic scattering
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摘要
The Schrödinger operator with a compactly supported magnetic field is shown to produce infinitely many resonances, in any odd dimension⩾3. The proof is based on the Poisson formula for resonances and properties of the magnetic heat invariants.
论文关键词：Magnetic Schrödinger operator,Resonances,Heat invariants
论文评审过程：Received 2 December 2001, Revised 1 February 2002, Available online 15 October 2002.
论文官网地址：https://doi.org/10.1016/S0377-0427(02)00575-7
