The negative of the sum of the dot products of one of these functions with each of its nearest neighbors, times the coupling constant of the exchange interaction, minus the product of this function and the external magnetic field at a particular lattice site, gives the Hamiltonian in the Heisenberg model.
One of these functions is associated with each edge of a type of directed graph for which edges correspond to irreducible representations of a compact Lie group and vertices correspond to equivariant maps of adjacent edge representations. The simplest renormalization group transformation consists of replacing a set of these functions with a single "block" function. In loop quantum gravity, Hilbert space is constructed from the set of equivalence classes of (*) "networks" of these functions. The negative of the sum of the dot products of one of these functions with each of its nearest neighbors, times the coupling constant of the exchange interaction, minus the product of this function and the external magnetic field at a particular lattice site, gives the Hamiltonian in the Heisenberg model. These functions are assigned values of either one or negative one in the Ising model. For 10 points, name this type of function that represents an atom's intrinsic angular momentum.
One of these functions is associated with each edge of a type of directed graph for which edges correspond to irreducible representations of a compact Lie group and vertices correspond to equivariant maps of adjacent edge representations.
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