Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4616092 | Journal of Mathematical Analysis and Applications | 2014 | 15 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
F. Bagarello, S. Triolo,