Explaination of Wave-Particle Duality via the Single Free Photon Motion in the Complex Space

楊憲東¹, Shiang-Yi Han^1*

¹航空太空工程學系, 國立成功大學, 台南, Taiwan

* Presenter:Shiang-Yi Han, email:syhan.taiwan@gmail.com

Wave-particle duality is one of the most fundamental features of the quantum world. The particle-like property means localized and acting in some sense as individual entities. The wave-like property means nonlocalized and period. How could an object have both properties of which against each other? In this talk we introduce a single free photon motion in the complex space to demonstrate the duality nature of light. The photon exhibits the particle-like property in the eigen-state and both properties in the superposition state. The complex quantum potential is responsible for the wave-like trajectory, which explains why the pure particle property only exists in the eigen-state. The photon energy can be expressed in terms of the particle energy or wave energy according to the trajectory types, and can be connected by the standing wave motions in the complex space. The energy is conserved in the complex space will be demonstrated, which shows the equivalence of the Einstein photon energy and de Broglie relation.

Keywords: photon trajectory, complex space, complex quantum potential, wave-particle dulity