Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Relation between exponential behavior and energy denominators -- Weak
  Coupling Limit   We show some interesting properties of tridiagonal and pentadiagonal matrices
in the weak coupling limits. In the former case of this limit the ground state
wave function amplitudes are identical to the Taylor expansion coefficients of
the exponential function e$^{(-v/E)}$. With regards to transition rates a dip
in the pentadiagonal case which is not present in the tridiagonal case is
explained. An intimate connection between energy denominators and exponential
behavior is demonstrated.

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The categories of this paper are: math-ph
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The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
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The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
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The categories of this paper are: nlin
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The categories of this paper are: adap-org
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The categories of this paper are: econ
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The categories of this paper are: solv-int
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The categories of this paper are: q-fin
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The categories of this paper are: plasm-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ex
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The categories of this paper are: chao-dyn