Estimation of the number of negative eigenvalues of magnetic Schrödinger operators in a strip
arXiv:2106.08625
Abstract
An upper estimate for the number of negative eigenvalues below the essential spectrum for the magnetic Schrödinger operator with Aharonov-Bohm magnetic field in a strip is obtained. Its further shown that the estimate does not hold in absence of Aharonov-Bohm magnetic field.
References in corpus (4)
- Analogs of quantum Hall effect edge states in photonic crystals
- Spectral Properties of a Magnetic Quantum Hamiltonian on a Strip
- On the asymptotic number of edge states for magnetic Schrödinger operators
- Magnetic Schroedinger operators with radially symmetric magnetic field and radially symmetric electric potential