Asymptotics of eigenvalues of the operator describing Aharonov-Bohm effect combined with homogeneous magneticfield coupled with a strong $\delta$-interaction on a loop

G. Honnouvo, M. N. Hounkonnou

We investigate the two-dimensional magnetic operator $H_{c_0,B,\beta }={(-i\nabla -A)}^2-\beta \delta (.-\Gamma ),$ where $\Gamma$ is a smooth loop. The vector potential has the form $A=c_0\bigg(\frac{-y…