Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Auxiliary fields as a tool for computing analytical solutions of the
  Schr\"{o}dinger equation   We propose a new method to obtain approximate solutions for the
Schr\"{o}dinger equation with an arbitrary potential that possesses bound
states. This method, relying on the auxiliary field technique, allows in many
cases to find analytical solutions. It offers a convenient way to study the
qualitative features of the energy spectrum of bound states in any potential.
In particular, we illustrate our method by solving the case of central
potentials with power-law form and with logarithmic form. For these types of
potentials, we propose very accurate analytical energy formulae which improve a
lot the corresponding formulae that can be found in literature.

21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
2
The categories of this paper are: math
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat