Abstract:
In this work the spectral properties of one-centered point perturbation of the quantum mechanical Hamiltonian on 3D sphere are investigated. The model of zero-radius potential is used here. The asimptotics of the energy levels are constructed and the dependence of the levels on the sphere curvature and on the perturbation intensity is learnt.
Keywords:point perturbations, 3D sphere, Laplace–Beltrami operator.