Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Qualitative Theory of Non-Gamov Decay States   Complex potential transformations which add imaginary parts to chosen energy
levels are given and qualitatively explained. Unexpected shape similarity of
potential perturbations for real and imaginary E-shifts of bound states are
exhibited. The imaginary E-shifts in the continuous spectrum lead to a
surprising quasi-periodic field raking up initial propagating waves into
localized states. Complex periodic potentials without lacunas (!) are
constructed. The fission of quasi-bound states when neighbour complex
eigenvalues approach one another is demonstrated. E-shift algorithms represent
wide classes of exactly solvable quantum models for non-self-adjoint operators.

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The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
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The categories of this paper are: supr-con
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The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ