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RESEARCH PRODUCT

An invariant analytic orthonormalization procedure with an application to coherent states

Salvatore TrioloFabio Bagarello

subject

Pure mathematicsHilbert spaceFOS: Physical sciencesStatistical and Nonlinear PhysicsMathematical Physics (math-ph)coherent statesUnitary stateMathematical OperatorsSet (abstract data type)symbols.namesakeUnit vectorsymbolsSet theoryInvariant (mathematics)Settore MAT/07 - Fisica MatematicaOrthonormalityComputer Science::DatabasesMathematical PhysicsMathematics

description

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.

yearjournalcountryeditionlanguage
2007-04-01
10.1063/1.2711371http://arxiv.org/abs/0904.0882