On the zero modes of Pauli operators

Details On the zero modes of Pauli operators On the zero modes of Pauli operators

2000-03-30

arxiv.org/abs/math/0003216v1

Mathematics

Spectral Theory

LaTex2e File

Scientific paper

Two results are proved for $\mathrm{nul} \mathbb{P}_A$, the dimension of the kernel of the Pauli operator $\mathbb{P}_A = \bigl\{\bbf{\sigma} \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 $[L^{3/2}(\mathbb{R}^3)]^3$.

Affiliated with

Also associated with

No associations

Rating

On the zero modes of Pauli operators does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the zero modes of Pauli operators, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the zero modes of Pauli operators will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-201941