Absence of Eigenvalues of Dirac and Pauli Hamiltonians via the Method of Multipliers
Lucrezia Cossetti, Luca Fanelli, David Krejčiřík
Abstract
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 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.
Topics & Concepts
Eigenvalues and eigenvectorsPauli exclusion principlePhysicsDirac (video compression format)Mathematical physicsMagnetic fieldPoint (geometry)Dirac operatorElectromagnetic fieldComplex systemQuantum mechanicsPauli matricesMathematicsField (mathematics)Operator theoryHamiltonian (control theory)Dirac equationLadder operatorFermionQuantum field theoryTheoretical physicsQuantum electrodynamicsDirac spinorElectromagnetismSpectral Theory in Mathematical PhysicsQuantum Mechanics and Non-Hermitian PhysicsAdvanced Operator Algebra Research