A diamagnetic inequality for semigroup differences

A diamagnetic inequality for semigroup differences
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半群差分的反磁不等式

DOI：
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发表时间：
2004
期刊：
影响因子：
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通讯作者：
B. Simon
B. Simon
中科院分区：
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文献类型：
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作者：
D. Hundertmark;B. Simon

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本文将磁Schrodinger半群的抗磁不等式推广到任意开域上具有Neumann和Dirichlet边界条件的磁Schrodinger算子半群的差，并给出了一般的磁矢势A和势V。这一界限使得最近证明的磁性材料的积分态密度的边界条件的独立性中的所有技术问题都没有实际意义。薛定谔算子：对于自由情况，即对于消失势和矢量势，边界条件的独立性立即意味着 积分态密度的一大类磁薛定谔算子。
The diamagnetic inequality for the magnetic Schrodinger semigroup is extended to the difference of the semigroups of magnetic Schrodinger operators with Neumann and Dirichlet boundary conditions on arbitrary open domains and rather general magnetic vector potentials A and potentials V. In particular, this bound renders moot all the technical issues in the recent proofs of the independence of the boundary conditions for the integrated density of states for magnetic Schrodinger operators: Independence of the boundary conditions for the free case, that is, for vanishing potentials and vector potentials, immediately implies independence of the boundary conditions of the integrated density of states for a large class of magnetic Schrodinger operators.