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arXiv 1912.02443math.SPmath-phmath.APmath.MP
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用乘子法证明Dirac和Pauli哈密顿算子的特征值缺失

Absence of eigenvalues of Dirac and Pauli Hamiltonians via the method of multipliers

Lucrezia Cossetti, Luca Fanelli, David Krejcirik

摘要:

通过推广乘子法,我们建立了关于磁场和复矩阵值电势的充分条件,从而保证相应的薛定谔算子系统没有点谱.特别是,这使我们能够证明类似的结果泡利运营商在相同的电磁条件下,反过来,由于超对称结构,也为磁狄拉克运营商。

英文摘要:

By developing the method of multipliers, we establish sufficient conditions on the magnetic field and the complex, matrix-valued electric potential, which guarantee that the corresponding system of Schrödinger operators has no point spectrum. In particular, this allows us to prove analogous results for Pauli operators under the same electromagnetic conditions and, in turn, as a consequence of the supersymmetric structure, also for magnetic Dirac operators.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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