Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Revisiting 1-Dimensional Double-Barrier Tunneling in Quantum Mechanics   This paper revisited quantum tunneling dynamics through a square
double-barrier potential. We emphasized the similarity of tunneling dynamics
through double-barrier and that of optical Fabry--P$\acute{e}$rot (FP)
interferometer. Based on this similarity, we showed that the well-known
resonant tunneling can also be interpreted as a result of matter multi-wave
interference, analogous to that of FP interferometer. From this analogy, we
also got an analytical finesse formula of double-barrier. Compared with that
obtained numerically for a specific barrier configuration, we found that this
formula works well for resonances at "deep tunneling region". Besides that, we
also calculated standing wave spectrum inside the well of double barriers and
phase time of double-barrier tunneling. The wave number spectrums of standing
wave and phase time show another points of view on resonance. From
semi-numerical calculations, we interpreted the peak of phase time at resonance
as resonance life time, which coincides at least in order of magnitude with
that obtained from uncertainty principle. Not to our surprise, phase time of
double-barrier tunneling also saturates at long barrier length limit
$l\rightarrow\infty$ as that of tunneling through a single barrier, and the
limits are the same.

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The categories of this paper are: solv-int
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The categories of this paper are: math-ph
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The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
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The categories of this paper are: adap-org
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
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The categories of this paper are: q-bio
2
The categories of this paper are: math
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The categories of this paper are: stat
3
The categories of this paper are: physics
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The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con