Author(s)

Salvador Godoy, Karen Villa

Depto de Física, Facultad de Ciencias, Universidad Nacional Autónoma de México, Mexico City, Mexico.

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.

Diffraction in Time, Relativistic Diffraction in Time, Causal Scattering Basis, Transient Quantum Processes

Godoy, S. and Villa, K. (2016) A Basis for Causal Scattering Waves, Relativistic Diffraction in Time Functions. Journal of Modern Physics, 7, 1181-1191. doi: 10.4236/jmp.2016.710107.