  We revisit the coordinate coherent states approach through two different
quantization procedures in the quantum field theory on the noncommutative
Minkowski plane. The first procedure, which is based on the normal commutation
relation between an annihilation and creation operators, deduces that a point
mass can be described by a Gaussian function instead of the usual Dirac delta
function. However, we argue this specific quantization by adopting the
canonical one (based on the canonical commutation relation between a field and
its conjugate momentum) and show that a point mass should still be described by
the Dirac delta function, which implies that the concept of point particles is
still valid when we deal with the noncommutativity by following the coordinate
coherent states approach. In order to investigate the dependence on
quantization procedures, we apply the two quantization procedures to the Unruh
effect and Hawking radiation and find that they give rise to significantly
different results. Under the first quantization procedure, the Unruh
temperature and Unruh spectrum are not deformed by noncommutativity, but the
Hawking temperature is deformed by noncommutativity while the radiation
specturm is untack. However, under the second quantization procedure, the Unruh
temperature and Hawking temperature are untack but the both spectra are
modified by an effective greybody (deformed) factor.
