Wave mechanics and the new quantum theory

Victor Christianto

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 Schrodinger 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 Schrodinger’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.

Richard H. Bube

Runsheng Tu

In reality, micro objects and macro objects coexist harmoniously, and each macro object depends on micro particles to exist (macro is a collection of micro objects, indicating that they have a very extensive relationship and are symbiotic). However, classical mechanics and quantum mechanics have long been regarded as binary oppositions. This is a serious disconnect between theory and phenomena, requiring the establishment of new theories and methods that are compatible between quantum and classical. Prior to this, many reasons and methods for combining quantum theory with classical theory have been found (providing numerous computational examples). The wave mechanics equations of classical mechanics laws have been written. The technical method used is still the conversion rule of the Hermitian operator in the fundamental postulates of quantum mechanics. There are no new assumptions. The key is to use the relationship between force and energy in the planetary model to obtain wave mechanics equations that include force, Newton's second law, and the law of conservation of momentum. Thus, quantum mechanics, which is compatible with classical mechanics, truly becomes a form of 'mechanics'. This kind of mechanics is generalized wave mechanics. Quantum and classical are coordinated and compatible, resulting in no clear boundary between quantum and classical. It will seriously affect the credibility of quantum decoherence and wave function collapse.

Harold T. Davis

D. H. Delphenich

Abstract The continuum-mechanical formulation of wave mechanics suggests that there is an intermediate stage of theoretical generality between wave mechanics and point mechanics, namely, continuum mechanics. When that argument is applied to the corresponding transition from wave optics to geometrical optics, the corresponding intermediate stage is essentially the geometrical theory of diffraction, i.e., the theory of diffracted geodesics.