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The quantum structure of matter grand challenge project: Large-scale 3-D solutions in relativistic quantum dynamics

Book ·
OSTI ID:46205
; ;  [1]; ; ; ;  [2]
  1. Oak Ridge National Lab., TN (United States). Physics Division
  2. Oak Ridge National Lab., TN (United States)

The authors describe the numerical methods used to solve the time-dependent Dirac equation on a three-dimensional Cartesian lattice. Efficient algorithms are required for computationally intensive studies of nonperturbative relativistic quantum dynamics. Discretization is achieved through the lattice basis-spline collocation method, in which quantum-state vectors and coordinate-space operators are expressed in terms of basis-spline functions on a spatial lattice. All numerical procedures reduce to a series of matrix-vector operations which they perform on the Intel iPSC/860 hypercube, making full use of parallelism. They discuss their solutions to the problems of limited node memory and node-to-node communication overhead inherent in using distributed-memory, multiple-instruction, multiple-data stream parallel computers.

DOE Contract Number:
AC05-84OR21400; FG05-87ER40376
OSTI ID:
46205
Report Number(s):
CONF-931115--
Country of Publication:
United States
Language:
English