Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Numerical solutions of the Schrodinger equation with source terms or
  time-dependent potentials   We develop an approach to solving numerically the time-dependent Schrodinger
equation when it includes source terms and time-dependent potentials. The
approach is based on the generalized Crank-Nicolson method supplemented with an
Euler-MacLaurin expansion for the time-integrated nonhomogeneous term. By
comparing the numerical results with exact solutions of analytically solvable
models, we find that the method leads to precision comparable to that of the
generalized Crank-Nicolson method applied to homogeneous equations.
Furthermore, the systematic increase in precision generally permits making
estimates of the error.

24
The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
2
The categories of this paper are: math
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess