Absence of Eigenvalues of Dirac and Pauli Hamiltonians via the Method of Multipliers

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...

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Bibliographic Details
Published inCommunications in mathematical physics Vol. 379; no. 2; pp. 633 - 691
Main Authors Cossetti, Lucrezia, Fanelli, Luca, Krejčiřík, David
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.10.2020
Springer Nature B.V
Subjects
Classical and Quantum Gravitation
Complex Systems
Eigenvalues
Mathematical and Computational Physics
Mathematical Physics
Multipliers
Operators (mathematics)
Physics
Physics and Astronomy
Quantum Physics
Relativity Theory
Theoretical
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Summary: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.
ISSN:0010-3616
1432-0916
DOI:10.1007/s00220-020-03853-7