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<p>We compute asymptotic expansions for the negative eigenvalues of the Pauli operator in two dimensions perturbed by a weakly coupled potential with definite sign. Whereas previous results were limited to the case of radial magnetic fields and potentials, we are able to drop the assumption of radial symmetry entirely.</p>

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Weak Coupling Asymptotics for the Pauli Operator in Two Dimensions

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年7月2日

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  • Matthias Baur

摘要

We compute asymptotic expansions for the negative eigenvalues of the Pauli operator in two dimensions perturbed by a weakly coupled potential with definite sign. Whereas previous results were limited to the case of radial magnetic fields and potentials, we are able to drop the assumption of radial symmetry entirely.