Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalized nonpolynomial Schrodinger equations for matter waves under
  anisotropic transverse confinement   Starting from the three-dimensional Gross-Pitaevskii equation we derive a 1D
generalized nonpolynomial Schrodinger equation, which describes the dynamics of
Bose-Einstein condensates under the action of a generic potential in the
longitudinal axial direction and of an anisotropic harmonic potential in the
transverse radial direction. This equation reduces to the familiar 1D
nonpolynomial Schrodinger equation [Phys. Rev. A 65, 043614 (2002)] in the case
of isotropic transverse harmonic confinement. In addition, we show that if the
longitudinal potential models a periodic optical lattice the 3D GPE can be
mapped into a 1D generalized discrete nonpolynomial Schrodinger equation.

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The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
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The categories of this paper are: comp-gas
16
The categories of this paper are: stat
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
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The categories of this paper are: adap-org
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The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
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The categories of this paper are: hep-ex
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The categories of this paper are: supr-con
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The categories of this paper are: eess
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The categories of this paper are: acc-phys
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The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph