Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Adaptive Perturbation Theory I: Quantum Mechanics   Adaptive perturbation is a new method for perturbatively computing the
eigenvalues and eigenstates of quantum mechanical Hamiltonians that heretofore
were not believed to be obtainable by such methods. The novel feature of
adaptive perturbation theory is that it decomposes a given Hamiltonian, $H$,
into an unperturbed part and a perturbation in a way which extracts the leading
non-perturbative behavior of the problem exactly. This paper introduces the
method in the context of the pure anharmonic oscillator and then goes on to
apply it to the case of tunneling between both symmetric and asymmetric minima.
It concludes with an introduction to the extension of these methods to the
discussion of a quantum field theory. A more complete discussion of this issue
will be given in the second paper in this series. This paper will show how to
use the method of adaptive perturbation theory to non-perturbatively extract
the structure of mass, wavefunction and coupling constant renormalization.

25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
2
The categories of this paper are: math
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an