Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Localization or tunneling in asymmetric double-well potentials   An asymmetric double-well potential is considered, assuming that the wells
are parabolic around the minima. The WKB wave function of a given energy is
constructed inside the barrier between the wells. By matching the WKB function
to the exact wave functions of the parabolic wells on both sides of the
barrier, for two almost degenerate states, we find a quantization condition for
the energy levels which reproduces the known energy splitting formula between
the two states. For the other low-lying non-degenerate states, we show that the
eigenfunction should be primarily localized in one of the wells with negligible
magnitude in the other. Using Dekker's method [Physica 146A (1987) 375], the
present analysis generalizes earlier results for weakly biased double-well
potentials to systems with arbitrary asymmetry.

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The categories of this paper are: gr-qc
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The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
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The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
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The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
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The categories of this paper are: eess
24
The categories of this paper are: dg-ga
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The categories of this paper are: nucl-ex