On the zero modes of Pauli operators

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dc.creatorBalinsky, A. A.
dc.creatorEvans, W. D.
dc.date2000-03-30
dc.date.accessioned2026-07-07T04:34:32Z
dc.date.available2026-07-07T04:34:32Z
dc.descriptionTwo results are proved for $\mathrm{nul} \mathbb{P}_A$, the dimension of the kernel of the Pauli operator $\mathbb{P}_A = \bigl\{\bbfσ \cdotp \bigl(\frac{1}{i} \bbf{\nabla} + \vec{A} \bigr) \bigr\} ^2 $ in $[L^2 (\mathbb{R}^3)]^2$: (i) for $|\vec{B}| \in L^{3/2} (\mathbb{R}^3),$ where $\vec{B} = \mathrm{curl} \vec{A}$ is the magnetic field, $\mathrm{nul} \ \mathbb{P}_{tA} = 0$ except for a finite number of values of $t$ in any compact subset of $(0, \infty)$; (ii) $\bigl\{\vec{B}: \mathrm{nul} \mathbb{P}_{A} = 0, | \vec{B} | \in L^{3/2}(\mathbb{R}^3) \bigr\} $ contains an open dense subset of $[L^{3/2}(\mathbb{R}^3)]^3$.
dc.descriptionLaTex2e File
dc.identifierhttps://arxiv.org/abs/math/0003216
dc.identifierhttp://arxiv.org/abs/math/0003216
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58941
dc.subjectSpectral Theory
dc.subjectMathematical Physics
dc.titleOn the zero modes of Pauli operators
dc.typetext

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