In light of the fact that our world requires new energy supply in order to replace fossil based energy, then it seems that new theory is badly needed – because it is often true that new energy requires new theory. And new theory can only come from new insights. In this paper, I will review the inadequacy of spherical solution of Schrödinger equation to say anything about the structure of molecules. It is a common fact, that the spherical solution of Schrodinger equation is hardly discussed properly in many quantum mechanics textbooks, with excuse that it is too complicated. Then I will discuss George Shpenkov’s wave equation which is able to derive the periodic table of elements, and other phenomena related to the structure of molecules, which is an elusive dream from the viewpoint of quantum mechanics. It is argued here that one can expect to arrive at new energy methods using this wave equation as starting point, for instance by virtue of resonance vibration theory. Nonetheless, it is not our view here that the Shpenkov’s wave equation can substitute wave mechanics completely, instead we prefer to say that it can be a complementary approach of wave mechanics. By referring to Schrödinger’s dream in his 1926 paper to find connection between his wave mechanics and vibration frequency, I think that Shpenkov’s wave equation can fulfill that dream.