Wave Mechanics

Zhiqiang Huang

This paper get a general survey of advances in Wave Mechanics.The development of Wave Mechanics goes back to ancient times.The principle of least action is the source of Wave Mechanics,so it is the mother of several principles.Erwin Schrdinger was the greatest contribution scientist of Wave Mechanics,secondary was Louis de Broglie.The Schrdinger equation not only can treat the movement of microscopic particles,but also can analysed some of the macroscopic scientific problems.There's no time for Schrdinger to study the non-linear Schrdinger equation(NLS),but de Broglie devoted oneself to the study of nonlinear Wave Mechanics,and established contact with the solitary waves.At present,the most research works involve the nonlinear differential equations in mathematics,but ignore the physical meaning.In the sciences of waves,the study of electro-magnetic waves are important field,many problems demand clarification.From the Wave Mechanics point of view,we must integrate the classic electro-magnetic wave equation with the Quantum Mechanics wave eqution,the isolated discussion age of classic fields and waves was extremely early ended.

Marianne Breinig

Субхон Джомирзоев

In its physical meaning, Planck’s constant turned out to be one of the corpuscular-wave quantities (CWQ) of microparticles. In turn, the newly discovered CWQ turned out to be quantities of corpuscular-wave mechanics (CWM), just as corpuscular quantities are quantities of the Newton’s corpuscular classical mechanics (CCM). At the same time, Schrödinger’s wave quantum mechanics (WQM) turned out to be in fact incomplete part of the CWM of non-relativistic electron (NE), and Newton's CCM itself turned out to be derived from the CWM macroscopic body (MB). Thus, to our great surprise, the CWM of a NE turned out to be more general form of Schrödinger’s WQM, and the CWM of a MB turned out to be more general form of Newton’s CCM. In this regard, just Abel discovered the multiplicity of algebras, and Lobachevsky discovered the multiplicity of geometries, similar to them, we encountered the multiplicity of the mechanics of physics.

Oliver BÃ ⁄ hler

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.

Franklin F. Y. Wang