Spectral series of the Schrödinger operator with delta potential at the poles of two- and three-dimensional surfaces of revolution

This article is devoted to the construction of spectral series of the Schrödinger operator with double delta potential of the form $H=-(h^2/2)\Delta+\delta_{x_1}(x)+\delta_{x_2}(x)$, $x\in M$, where $x_j$ are the poles of 2- or 3-surface of revolution $M$, in the semiclassical limit as $h\to 0$. The operator is considered to be an arbitrary self-adjoint extension of the Laplace–Beltrami operator.