Local Variation of an Order Parameter and an Isolated State inside the Energy Gap in a Superconductor with a Magnetic Impurity

Effect of the local variation of the order parameter on an isolated state inside the energy gap in a superconductor with a magnetic impurity is studied by the use of a simplified model. It is verified that in a weak limit of the impurity potential such an effect leads to an unimportant modification of the energy of the isolated state but induces new innumerable isolated states.