Matrix elements for dipole transitions in the statement of the quantum problem for molecules with restrictions on nuclear motion

Based on the previously proposed solution for the Schrödinger equation, which corresponds to the representation of a molecule as a dynamically stable geometric figure 1–3] and explicitly reflects the continuous correlation between electronic and nuclear motions with retaining the separation of variables, expressions for the matrix elements of the dipole transition are obtained. It is shown that the equation common for all states has the matrix form. The appearance of parameters having simple meanings and simultaneously affecting both vibrational and electronic components of the general wave function and electron vibrational energy levels is noted. This enables the statement and solution of the corresponding inverse spectral problems.