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comment phi^4 theory on lattice
This is just a way to index the $L^D$ lattice points. It's equivalent to giving each lattice point $j=(n_0,n_1,...,n_{D-1})$ an index whose digits in base $L$ are $n_0,n_1,...,n_{D-1}$ (from least to most significant).
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answered Calculating torque in a structure
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comment Uniqueness of eigenvector representation in a complete set of compatible observables
@Lakshya: An observable is just a self-adjoint linear operator, by definition. So as Christoph says, one-dimensional projectors are obviously observables.