Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Application of the variations calculus on energy spectra of shallow
  hydrogen-like impurities and excitons in GaAs/AlGaAs quantum wells   A variational calculus method is applied for hydrogen-like impurities states
and exciton states in AlGaAs/GaAs quantum wells within the effective masses
approach. The hamiltonian is separated into radial and transversal parts to be
considered and optimized using trial wavefunctions. The results satifsy the
well-known cases of three-dimentional and two-dimentional hydrogen. The donor
and exciton bound energy is shown to decrease while widthening the quantum
well. The non-symmetrical donor position also decreases the bound energy.

22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
2
The categories of this paper are: math
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th