Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Observable eigenstate overlap in a nonlinear mean-field quantum model   The soliton effect is defined in nonlinear physics by the transformation of a
nonlinear time-dependent dynamical system into an equivalent linear spectral
eigenproblem whose invariant eigenvalues unambiguously define all the dynamical
properties of the original system. We point out the existence of such an effect
in a non-relativistic isotropic two-electron mean-field quantum-dot model. It
yields the prediction of observable modulation of radiation absorption between
its two lowest-energy zero-angular-momentum nonlinear eigenstates (i.e.
eigenstates which include electron-electron interaction: hence their
non-orthogonality). Characteristic values for such a possible experiment are
given in the case of GaAs. Furthermore it provides an intriguing nonlinear
definition of the fine-structure constant solely in terms of these eigenstates.

15
The categories of this paper are: nucl-ex
2
The categories of this paper are: math
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph