Decay of Magnetic Eigenfunctions on Asymptotically

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概要

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• We prove a decay estimate for eigenfunctions of the magnetic Schr\"{o}dinger operator on two dimensional Riemannian manifold $M$. We assume that $M$ is simply connected, rotationally symmetric, and asymptotically hyperbolic.The proof is based on a method developed by S. Nakamura in \cite{Nak1}.

• 東京大学の論文
• 2005-00-00

著者

• Shirai Shin-ichi

  Department Of Mathematics Faculty Of Science Kyoto University

関連論文

• Eigenvalue Asymptotics for the Maass Hamiltonian with Decreasing Electric Potentials
• Eigenvalue Asymptotics for the Shrodinger Operator with Steplike Magnetic Field and Slowly Decreasing Electric Potential
• Decay of Magnetic Eigenfunctions on Asymptotically

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