An invariant analytic orthonormalization procedure with an application to coherent states

Abstract

We discuss a general strategy which produces an orthonormal set of vectors, stable under the action of a given set of unitary operators Aj, j=1,2,...,n, starting from a fixed normalized vector in and from a set of unitary operators. We discuss several examples of this procedure and, in particular, we show how a set of coherent-like vectors can be produced and in which condition over the lattice spacing this can be done.

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