Eigenvalues behaviours for self-adjoint Pauli operators with unsigned perturbations and admissible magnetic fields |
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| Authors: | Diomba Sambou Amal Taarabt |
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| Institution: | 1. Departamento de Matemáticas, Facultad de Matemáticas, Pontificia Universidad Católica de Chile, Vicuña Mackenna 4860, Santiago de Chile, Chile;2. Instituto de Física, Pontificia Universidad Católica de Chile, Vicuña Mackenna 4860, Santiago de Chile, Chile |
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| Abstract: | We investigate the discrete spectrum behaviour for the 2d Pauli operator with nonconstant magnetic field, perturbed by a sign-indefinite self-adjoint electric potential that decays polynomially at infinity. A localisation of the eigenvalues and new asymptotics are established. |
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