  Talbot effect in the space-time evolution of matter waves is analyzed and
shown that the matter waves at relativistic and non-relativistic velocities
exhibit coherence beyond the grating and display Talbot self-imaging. The
grating is realized by considering equidistant narrowly peaked coherent
probability distributions at the onset. Theoretical frame work is based on a
quantum particle at relativistic and non-relativistic velocities in a one
dimensional box. The matter waves, in their evolution, display Talbot
self-imaging and fractional self-imaging as restructuring, respectively, at
Talbot length and fractional Talbot lengths.
