Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Finite element approach for simulating quantum electron dynamics in a
  magnetic field   A fast and stable numerical method is formulated to compute the time
evolution of a wave function in a magnetic field by solving the time-dependent
Schroedinger equation. This computational method is based on the finite element
method in real space to improved accuracy without any increase of computational
cost. This method is also based on Suzuki's exponential product theory to
afford an efficient way to manage the TD-Schroedinger equation with a vector
potential. Applying this method to some simple electron dynamics, we have
confirmed its efficiency and accuracy.

36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
2
The categories of this paper are: math
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int