Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tunneling of Bound Systems at Finite Energies: Complex Paths Through
  Potential Barriers   We adapt the semiclassical technique, as used in the context of instanton
transitions in quantum field theory, to the description of tunneling
transmissions at finite energies through potential barriers by complex quantum
mechanical systems. Even for systems initially in their ground state, not
generally describable in semiclassical terms, the transmission probability has
a semiclassical (exponential) form. The calculation of the tunneling exponent
uses analytic continuation of degrees of freedom into a complex phase space as
well as analytic continuation of the classical equations of motion into the
complex time plane. We test this semiclassical technique by comparing its
results with those of a computational investigation of the full quantum
mechanical system, finding excellent agreement.

17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
2
The categories of this paper are: math
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph