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Absence of Eigenvalues of Dirac and Pauli Hamiltonians via the Method of Multipliers
Communications in Mathematical Physics ( IF 2.4 ) Pub Date : 2020-09-18 , DOI: 10.1007/s00220-020-03853-7
Lucrezia Cossetti , Luca Fanelli , David Krejčiřík

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 Schrodinger 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.

中文翻译:

用乘法器计算狄拉克和泡利哈密顿量的特征值缺失

通过发展乘法器的方法,我们在磁场和复矩阵值电势上建立了充分条件,保证了对应的薛定谔算子系统没有点谱。特别是,这使我们能够在相同的电磁条件下证明泡利算子的类似结果,反过来,由于超对称结构,磁狄拉克算子也是如此。
更新日期:2020-09-18
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