# Spectral series of the Schr\"odinger operator with delta-potential on a three-dimensional spherically symmetric manifold

## TL;DR

This paper analyzes the spectral properties of the Schrödinger operator with a delta-potential on a three-dimensional spherically symmetric manifold in the semiclassical limit, providing detailed descriptions of the spectral series.

## Contribution

It offers a novel description of the spectral series for this operator on such manifolds in the semiclassical regime, extending previous understanding.

## Key findings

- Spectral series characterized in the semiclassical limit
- Explicit asymptotic formulas derived for eigenvalues
- Insights into the effect of delta-potential on spectral properties

## Abstract

The spectral series of the Schr\"odinger operator with a delta-potential on a three-dimensional compact spherically symmetric manifold in the semiclassical limit as $h\to0$ are described.