Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Strong-Field S-Matrix Theory With Coulomb-Volkov Final State in All
  Orders   Despite its long standing usefulness for the analysis of various processes in
intense laser fields, it is well-known that the so-called strong-field KFR or
SFA ansatz does not account for the final-state Coulomb interaction. Due to its
importance for the ubiquitous ionisation process, numerous heuristic attempts
have been made during the last several decades to account for the final state
Coulomb interaction with in the SFA. Also to this end an ad hoc model with the
so-called Coulomb-Volkov final state was introduced a long time ago. However,
till now, no systematic strong-field S-matrix expansion using the
Coulomb-Volkov final state could be found. Here we solve this long standing
problem by determining the Coulomb-Volkov Hamiltonian, identifying the
rest-interaction in the final state, and explicitly constructng the
Coulomb-Volkov propagator (or Green's function). We employ them to derive the
complete S-matrix series for the ionisation amplitude governed by the
Coulomb-Volkov final state in all orders. The results are given in both
"velocity" and "length" gauges. We also present a gauge independent version of
the Coulomb-Volkov S-matrix series.

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The categories of this paper are: funct-an
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The categories of this paper are: q-bio
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The categories of this paper are: eess
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The categories of this paper are: hep-ex
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The categories of this paper are: comp-gas
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The categories of this paper are: cmp-lg
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The categories of this paper are: plasm-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: math
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The categories of this paper are: q-alg
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-lat
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The categories of this paper are: alg-geom
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The categories of this paper are: stat
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The categories of this paper are: acc-phys