Some invariant biorthogonal sets with an application to coherent states
Mathematical Physics
2014-02-04 v1 math.MP
Abstract
We show how to construct, out of a certain basis invariant under the action of one or more unitary operators, a second biorthogonal set with similar properties. In particular, we discuss conditions for this new set to be also a basis of the Hilbert space, and we apply the procedure to coherent states. We conclude the paper considering a simple application of our construction to pseudo-hermitian quantum mechanics.
Cite
@article{arxiv.1402.0425,
title = {Some invariant biorthogonal sets with an application to coherent states},
author = {F. Bagarello and S. Triolo},
journal= {arXiv preprint arXiv:1402.0425},
year = {2014}
}
Comments
in press in Journal of Mathematical Analysis and Applications. arXiv admin note: text overlap with arXiv:0904.0882