This is particularly useful for models that have highly combinatorial or counting rules ( for example, class1 if exactly two features are negative, class2 otherwise ), which cannot be fitted without looking at all the interaction terms.
32.
And subsequently a version assuming that the light particles are four-component Dirac spinors, but that speed of the heavy particles is small relative to c and that the interaction terms analogous to the electromagnetic vector potential can be ignored:
33.
The interaction picture is convenient when considering the effect of a small interaction term, " H " 1, S, being added to the Hamiltonian of a solved system, " H " 0, S.
34.
In the interaction term, the four-current should be understood as an abbreviation of many terms expressing the electric currents of other charged fields in terms of their variables; the four-current is not itself a fundamental field.
35.
In the dRGT theory, a nondynamical " reference metric " f _ { \ mu \ nu } is introduced, and the interaction terms are built out of the matrix square root of g ^ {-1 } f.
36.
The first term in the next equation is Coulomb's law for a pair of ions, the second term is the short-range repulsion explained by Pauli's exclusion principle and the final term is the dispersion interaction term.
37.
Such analysis is done in Fourier space; the interaction terms of the Hamiltonian which remain correspond to the Fourier expansion of the electron coupling for which "'q "'` " "'0 " '.
38.
A standard approximation strategy for polymer field theories is the mean field ( MF ) approximation, which consists in replacing the many-body interaction term in the action by a term where all bodies of the system interact with an average effective field.
39.
By writing the density matrix in path integral notation and making use of Feynman-Vernon influence functional, all the bath coordinates in the interaction terms can be grouped into this influence functional which in some specific cases can be calculated in closed form.
40.
If \ psi is a quaternion valued spinor, A ^ { ab } _ \ mu is quaternion hermitian matrix coming from and B _ \ mu is a pure imaginary quaternion ( both of which are 4-vector bosons ) then the interaction term is:
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