  At a fundamental level the notion of particle (quantum) comes from quantum
field theory. From this point of view we estimate corrections to the free
particle wave function due to minimum-length deformed quantum mechanics to the
first order in the deformation parameter. Namely, in the matrix element $<0
|\varPhi(t,\,\mathbf{x}) |\mathbf{p} >$ that in the standard case sets the free
particle wave function $\propto \exp(i[\mathbf{p}\mathbf{x} -
\epsilon(\mathbf{p}) t])$ there appear three kinds of corrections when the
field operator is calculated by using the minimum-length deformed quantum
mechanics. Starting from the standard (not modified at the classical level)
Lagrangian, after the field quantization we get a modified dispersion relation,
and besides that we find that the particle's wave function contains a small
fractions of an antiparticle wave function and the backscattered wave. The
result leads to interesting implications for black hole physics.
