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

Lucrezia Cossetti; Luca Fanelli; David Krejcirik

doi:10.1007/s00220-020-03853-7

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arXiv · 1912.02443

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

Lucrezia Cossetti·Luca Fanelli·David Krejcirik

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Abstract

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 Schr\"odinger 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.

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BibTeX RIS

Lucrezia Cossetti, Luca Fanelli, David Krejcirik. 2019-12-05. Absence of eigenvalues of Dirac and Pauli Hamiltonians via the method of multipliers. https://doi.org/10.1007/s00220-020-03853-7

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