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The Schr¨odinger operators with delta potentials, as one described in our study, are commonly used to model physical systems with localized impurities or defects. These operators are vital for understanding how quantum particles behave in the presence of such perturbations, providing insights into the influence of localized perturbations on the system dynamics as a whole. We consider the spectral problem for the Schr¨odinger operator of the form $H\psi = E\psi$, $H = -\frac{h^2}{2}\Delta + \alpha_1 \delta_{x_1} (x) + \alpha_2 \delta_{x_2} (x)$, $x\in M$.