Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Canonical symplectic structure and structure-preserving geometric
  algorithms for Schr\"odinger-Maxwell systems   An infinite dimensional canonical symplectic structure and
structure-preserving geometric algorithms are developed for the photon-matter
interactions described by the Schr\"odinger-Maxwell equations. The algorithms
preserve the symplectic structure of the system and the unitary nature of the
wavefunctions, and bound the energy error of the simulation for all time-steps.
This new numerical capability enables us to carry out first-principle based
simulation study of important photon-matter interactions, such as the high
harmonic generation and stabilization of ionization, with long-term accuracy
and fidelity.

20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat