中文

Sharp Spectral Asymptotics for Magnetic Schr\"odinger Operator with Irregular Potential

偏微分方程分析 2007-05-23 v1 谱理论

摘要

Survey: In this paper I consider sharp spectral asymptotics for multidimensional magnetic Schr\"odinger operator with irregular coefficients with respect to two parameters -- semiclassical parameter hh and coupling parameter μ\mu. There are few principally different cases, depending on dimension, rank of magnetic intensity matrix, relation between hh and μ\mu and some extra assumptions.

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引用

@article{arxiv.math/0603119,
  title  = {Sharp Spectral Asymptotics for Magnetic Schr\"odinger Operator with Irregular Potential},
  author = {Victor Ivrii},
  journal= {arXiv preprint arXiv:math/0603119},
  year   = {2007}
}