Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Adaptive Perturbation Method in Quantum Mechanics   The adaptive perturbation chooses a non-standard decomposition. The
Hamiltonian becomes a sum of solvable and perturbation parts. We calculate the
spectrum using the adaptive perturbation method at the leading-order to compare
to numerical solutions. The maximum deviation is around $5\%$ for different
coupling regions. A perturbation study relies on whether a choice of
leading-order is suitable. Our result with different parameters should show
that the adaptive perturbation method provides appropriate saddle points to all
coupling regions. In the end, we show that the perturbation parameters should
not be a coupling constant.

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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: cs
2
The categories of this paper are: math
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
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The categories of this paper are: stat
8
The categories of this paper are: hep-ex
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The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
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The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
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The categories of this paper are: q-alg
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The categories of this paper are: econ
23
The categories of this paper are: solv-int