Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A G-FDTD Method for Solving the Multi-Dimensional Time-Dependent
  Schrodinger Equation   The Finite-Difference Time-Domain (FDTD) method is a well-known technique for
the analysis of quantum devices. It solves a discretized Schrodinger equation
in an explicitly iterative process. However, the method requires the spatial
grid size and time step satisfy a very restricted condition in order to prevent
the numerical solution from diverging. In this article, we present a
generalized FDTD (G-FDTD) method for solving the multi-dimensional
time-dependent Schrodinger equation, and obtain a more relaxed condition for
stability when the finite difference approximations for spatial derivatives are
employed. As such, a larger time step may be chosen. This is particularly
important for quantum computations. The new G-FDTD method is tested by
simulation of a particle moving in 2-D free space and then hitting an energy
potential. Numerical results coincide with those obtained based on the
theoretical analysis.

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The categories of this paper are: alg-geom
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The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys
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The categories of this paper are: chao-dyn
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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: funct-an
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The categories of this paper are: adap-org
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: supr-con
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The categories of this paper are: atom-ph
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The categories of this paper are: solv-int
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The categories of this paper are: q-bio
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The categories of this paper are: dg-ga
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The categories of this paper are: ao-sci