TITLE:
A Basis for Causal Scattering Waves, Relativistic Diffraction in Time Functions
AUTHORS:
Salvador Godoy, Karen Villa
KEYWORDS:
Diffraction in Time, Relativistic Diffraction in Time, Causal Scattering Basis, Transient Quantum Processes
JOURNAL NAME:
Journal of Modern Physics,
Vol.7 No.10,
June
22,
2016
ABSTRACT: Relativistic diffraction in time wave functions can be used as a basis for causal scattering waves. We derive such exact wave function for a beam of Dirac and Klein-Gordon particles. The transient Dirac spinors are expressed in terms of integral defined functions which are the relativistic equivalent of the Fresnel integrals. When plotted versus time the exact relativistic densities show transient oscillations which resemble a diffraction pattern. The Dirac and Klein-Gordon time oscillations look different, hence relativistic diffraction in time depends strongly on the particle spin.