Zero modes for the magnetic Pauli operator in even-dimensional Euclidean space
(2008) In Letters in Mathematical Physics 85(2-3). p.111-128- Abstract
- We study the ground state of the Pauli Hamiltonian with a magnetic field in R2d,d>1. We consider the case where a scalar potential W is present and the magnetic field B is given by B=2i ∂̄∂W. The main result is that there are no zero modes if the magnetic field decays faster than quadratically at infinity. If the magnetic field decays quadratically then zero modes may appear, and we give a lower bound for the number of them. The results in this paper partly correct a mistake in a paper from 1993.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/4221720
- author
- Persson Sundqvist, Mikael LU
- publishing date
- 2008
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- even-dimensional Dirac and Pauli operators, magnetic fields, zero-modes
- in
- Letters in Mathematical Physics
- volume
- 85
- issue
- 2-3
- pages
- 111 - 128
- publisher
- Springer
- external identifiers
-
- scopus:52949143462
- ISSN
- 0377-9017
- DOI
- 10.1007/s11005-008-0265-4
- language
- English
- LU publication?
- no
- id
- 306ca10d-0145-4436-ac2e-214de121e78e (old id 4221720)
- date added to LUP
- 2016-04-01 11:56:57
- date last changed
- 2022-01-26 20:38:22
@article{306ca10d-0145-4436-ac2e-214de121e78e, abstract = {{We study the ground state of the Pauli Hamiltonian with a magnetic field in R2d,d>1. We consider the case where a scalar potential W is present and the magnetic field B is given by B=2i ∂̄∂W. The main result is that there are no zero modes if the magnetic field decays faster than quadratically at infinity. If the magnetic field decays quadratically then zero modes may appear, and we give a lower bound for the number of them. The results in this paper partly correct a mistake in a paper from 1993.}}, author = {{Persson Sundqvist, Mikael}}, issn = {{0377-9017}}, keywords = {{even-dimensional Dirac and Pauli operators; magnetic fields; zero-modes}}, language = {{eng}}, number = {{2-3}}, pages = {{111--128}}, publisher = {{Springer}}, series = {{Letters in Mathematical Physics}}, title = {{Zero modes for the magnetic Pauli operator in even-dimensional Euclidean space}}, url = {{http://dx.doi.org/10.1007/s11005-008-0265-4}}, doi = {{10.1007/s11005-008-0265-4}}, volume = {{85}}, year = {{2008}}, }