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math-ph2005
Rapid evaluation of the periodic Green's function in d dimensions
Sandeep Tyagi
A method is given to obtain the Green's function for the Poisson equation in any arbitrary integer dimension under periodic boundary conditions. We obtain recursion relations which…
cond-mat.other2005
Logarithmic interaction under periodic boundary conditions: Closed form formulas for energy and forces
Sandeep Tyagi
A method is given to obtain closed form formulas for the energy and forces for an aggregate of charges interacting via a logarithmic interaction under periodic boundary conditions.…