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 H and from a set of unitary operators. We discuss several examples of this procedure and, in particular, we show how a set of coherentlike vectors can be produced and in which condition over the lattice spacing this can be done. © 2007 American Institute of Physics.
TRIOLO, S., BAGARELLO, F. (2007). Invariant analytic orthonormalization procedure with an application to coherent states. JOURNAL OF MATHEMATICAL PHYSICS, 48(4), 043505 _1-043505 _16 [10.1063/1.2711371].
Invariant analytic orthonormalization procedure with an application to coherent states
TRIOLO, Salvatore;BAGARELLO, Fabio
2007-01-01
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 H and from a set of unitary operators. We discuss several examples of this procedure and, in particular, we show how a set of coherentlike vectors can be produced and in which condition over the lattice spacing this can be done. © 2007 American Institute of Physics.
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