An invariant analytic orthonormalization procedure with an application to coherent states

Details An invariant analytic orthonormalization procedure with an application to coherent states An invariant analytic orthonormalization procedure with an application to coherent states

2009-04-06

arxiv.org/abs/0904.0882v1

J. Math. Phys., {\bf 48}, DOI: 10.1063/1.2711371 (2007)

Physics

Mathematical Physics

Scientific paper

10.1063/1.2711371

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

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