Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Phantom expansion with non-linear Schr\"{o}dinger-type formulation of
  scalar field cosmology   We describe non-flat standard Friedmann cosmology of canonical scalar field
with barotropic fluid in form of non-linear
  Schr\"{o}dinger-type (NLS) formulation in which all cosmological dynamical
quantities are expressed in term of Schr\"{o}dinger quantities as similar to
those in time-independent quantum mechanics. We assume the expansion to be
superfast, i.e. phantom expansion. We report all Schr\"{o}dinger-analogous
quantities to scalar field cosmology.
  Effective equation of state coefficient is analyzed and illustrated. We show
that in a non-flat universe, there is no fixed $w_{\rm eff}$ value for the
phantom divide. In a non-flat universe, even $w_{\rm eff} > -1$, the expansion
can be phantom. Moreover, in open universe, phantom expansion can happen even
with $w_{\rm eff} > 0$. We also report scalar field exact solutions within
frameworks of the Friedmann formulation and the NLS formulation in non-flat
universe cases.

23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
2
The categories of this paper are: math
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th