Optics and Quantum Mechanics

D. I. Blokhint︠s︡ev

Qian Shang-Wu

By comparison between equations of motion of geometrical optics(GO)and that of classical statistical mechanics(CSM),we find that there should be an analogy between GO and CSM instead of GO and classical mechanics (CM).Furthermore,by comparison between the classical limit(CL)of quantum mechanics(QM)and CSM,we find that CL of QM is CSM not CM,hence we demonstrate that QM is a natural generalization of CSM instead of CM.

Miguel Orszag

Stefan Tappertzhofen, Jack Alexander-Webber

Jing Zhang, Mucui Ni, Yafu Chen +1 more

Optoelectronic functional materials are divided into two categories as electronic functional material and photonic functional material. And the comparison of the two materials exhibits that the theory of electronic functional material, solid-state quantum mechanics, has developed quite ripe, but the theory of photonic functional material is still in the classical stage or quasi-classical stage. While today, photonic functional material has gradually developed into microscopic field, the deficiency of quantum mechanics in its theory has confined the development of photonic functional material. The optical theory in this paper is different from the traditional optical theory that originates from wave optics, but originates from ray optics and introduces quantum mechanics into ray optics, thus sets up the formula of ray optics quantum mechanics. The conclusion exhibits great symmetry between ray optics quantum mechanics and solid-state quantum mechanics. Nonrelativistic ray optics quantum mechanics is set up on the condition that light is confined near the axis. This paper introduces the construction of ray optics quantum mechanics concisely, and its main equations as well.