Multipole representation for anisotropic Coulomb interactions

RECFMM: Recursive Parallelization of the Adaptive Fast Multipole Method for Coulomb and Screened Coulomb Interactions

We present RECFMM, a program representation and implementation of a recursive scheme for parallelizing the adaptive fast multipole method (FMM) on sharedmemory computers. It achieves remarkable high performance while maintaining mathematical clarity and flexibility. The parallelization scheme signifies the recursion feature that is intrinsic to the FMM but was not well exploited. The program mo...

Multipole Expansion for Relativistic Coulomb Excitation

We derive a general expression for the multipole expansion of the electromagnetic interaction in relativistic heavy-ion collisions, which can be employed in higher-order dynamical calculations of Coulomb excitation. The interaction has diagonal as well as off-diagonal multipole components, associated with the intrinsic and relative coordinates of projectile and target. A simple truncation in th...

Revision of FMM-Yukawa: An adaptive fast multipole method for screened Coulomb interactions

FMM-Yukawa: An adaptive fast multipole method for screened Coulomb interactions

Article history: Received 30 April 2009 Received in revised form 25 June 2009 Accepted 29 June 2009 Available online 2 July 2009 PACS: 02.30.Em 02.30.Rz 02.60.Dc 24.10.Cn

Anisotropic spin Hamiltonians due to spin-orbit and Coulomb exchange interactions.

Here we correct, extend, and clarify results concerning the spin Hamiltonian HS used to describe the ground manifold of Hubbard models for magnetic insulators in the presence of spin-orbit interactions. Most of our explicit results are for a tetragonal lattice as applied to some of the copper oxide lamellar systems and are obtained within the approximation that HS consists of a sum of nearest-n...