Higher-Order Corrections to Algebraic Derivation of Electric Dipole-Dipole Interaction ()
ABSTRACT
Nucleons are fermions with intrinsic spins
exhibiting dipole character. Dipole-dipole interaction via their dipole moments
is the key feature quantifying the short-range nucleonics interaction in
two-body physics. For a pair of interacting dipoles, the energy of a pair is
the quantity of interest. The same is true for chemical polar molecules. For
both cases, derivation of energy almost exclusively is carried out vectorially [1]. Although uncommon
the interacting energy can be derived algebraically too. For the latter Taylor,
expansion is applied [2]. The given expression although appears to be correct it is incomplete. In our report, by applying Taylor’s expansion up to the 4th order and utilizing a Computer Algebra System
we formulate the missing terms. Our report highlights
the impact of correcting missing terms by giving two explicit examples.
Share and Cite:
Sarafian, H. (2021) Higher-Order Corrections to Algebraic Derivation of Electric Dipole-Dipole Interaction.
American Journal of Computational Mathematics,
11, 267-272. doi:
10.4236/ajcm.2021.114017.
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