Spectral properties of 2D Pauli operators with almost-periodic electromagnetic fields
DOI10.4171/PRIMS/55-3-1zbMath1423.35261arXiv1801.01346OpenAlexW2963668834WikidataQ127448583 ScholiaQ127448583MaRDI QIDQ2329638
Georgi D. Raikov, Nicolas Espinoza, Jean-François Bony
Publication date: 18 October 2019
Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1801.01346
zero modesalmost-periodic functionsPauli operatorsasymptotics of Dirichlet seriesergodic operator families
General topics in linear spectral theory for PDEs (35P05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of operator theory in the physical sciences (47N50) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Approximate zero modes for the Pauli operator on a region
- Low energy asymptotics of the spectral shift function for Pauli operators with nonconstant magnetic fields
- Infiniteness of zero modes for the Pauli operator with singular magnetic field
- Almost periodic Schrödinger operators. I: Limit periodic potentials
- Spectral properties of Schrödinger operators with magnetic fields for a spin \({1 \over{} 2}\) particle
- On spectra of random Schrödinger operators with magnetic fields
- Pauli operator and Aharonov-Casher theorem for measure valued magnetic fields
- Power series with the Riemann zeta-function in the coefficients
- Modular relation interpretation of the series involving the Riemann zeta values
- Eigenvalues in spectral gaps of the two-dimensional Pauli operator
- ZERO MODES IN A SYSTEM OF AHARONOV–BOHM FLUXES
- Schrödinger operators with singular magnetic vector potentials