Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Existence of Propagators for Time Dependent Coulomb-like Potentials   We prove existence of propagators for a time dependent Schr\"odinger equation
with a new class of softened Coulomb potentials, which we allow to be time
dependent, in the context of time dependent density functional theory. We
compute explicitly the Fourier transform of these new potentials, and provide
an alternative proof for the Fourier transform of the Coulomb potential using
distribution theory. Finally we show the new potentials are dilatation
analytic, and so the spectrum of the corresponding Hamiltonian can be fully
characterized.

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The categories of this paper are: chem-ph
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The categories of this paper are: eess
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The categories of this paper are: solv-int
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The categories of this paper are: hep-th
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The categories of this paper are: nlin
10
The categories of this paper are: q-bio
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The categories of this paper are: chao-dyn
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The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: q-fin
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The categories of this paper are: econ
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The categories of this paper are: adap-org