Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The stationary phase condition applicability to the study of tunnel
  effect   Some recent theoretical studies have tended to employ analytically-continuous
{\em gaussian}, or infinite-bandwidth step pulses to examine tunneling process.
The stationary phase method is often employed to this aim. However, {\em
gaussian} functions do not have a well-defined front, such that their speed of
propagation becomes ambiguous. Also, infinite bandwidth signals cannot
propagate through any real physical medium (whose transfer function is
therefore finite) without pulse distortion, which also leads to ambiguities in
determining propagation velocity during the tunneling process. In this
manuscript, we appoint some incompatibilities with the application of the
method of stationary phase in deriving tunneling times which, eventually, can
ruin the {\em superluminal} interpretation of transition times.

18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th