Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Free particle wavefunction in light of the minimum-length deformed
  quantum mechanics and some of its phenomenological implications   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.

1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol