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Numerical implementation of the Dirac equation on hypercube multicomputers

Conference ·
OSTI ID:5977547
 [1]; ;  [2]; ; ; ; ;  [3]
  1. Oak Ridge National Lab., TN (United States) Vanderbilt Univ., Nashville, TN (United States). Dept. of Physics and Astronomy
  2. Vanderbilt Univ., Nashville, TN (United States). Dept. of Physics and Astronomy
  3. Oak Ridge National Lab., TN (United States)
+ Show Author Affiliations

Motivated by an interest in nonperturbative electromagnetic lepton-pair production in relativistic heavy-ion collisions, we discuss the numerical methods used in implementing a lattice solution of the time-dependent Dirac equation in three-dimensional Cartesian coordinates. Discretization is obtained using the lattice basis-spline collocation method, in which quantum-state vectors and coordinate-space operators are expressed in terms of basis-spline functions, and represented on a spatial lattice. All numerical procedures reduce to a series of matrix-vector operations which we perform on the Intel iPSC/860 hypercube multicomputer. We discuss solutions to the problems of limited node memory and node-to-node communication overhead inherent in using distributed-memory, multiple-instruction, multiple-data parallel computers.

Research Organization:
Oak Ridge National Lab., TN (United States)
Sponsoring Organization:
DOE; USDOE, Washington, DC (United States)
DOE Contract Number:
AC05-84OR21400
OSTI ID:
5977547
Report Number(s):
CONF-9110317-1; ON: DE92005128
Country of Publication:
United States
Language:
English

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Related Subjects

661100 -- Classical & Quantum Mechanics-- (1992-)
662220* -- Quantum Electrodynamics-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
99 GENERAL AND MISCELLANEOUS
990200 -- Mathematics & Computers
CHARGED-PARTICLE REACTIONS
COMPUTERS
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
FUNCTIONS
HEAVY ION REACTIONS
HYPERCUBE COMPUTERS
LEPTONS
NUCLEAR REACTIONS
NUMERICAL SOLUTION
PARALLEL PROCESSING
PARTIAL DIFFERENTIAL EQUATIONS
PROGRAMMING
WAVE EQUATIONS
WAVE FUNCTIONS