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.
|Numero di pagine||15|
|Rivista||Journal of Mathematical Analysis and Applications|
|Stato di pubblicazione||Published - 2014|
All Science Journal Classification (ASJC) codes
- Applied Mathematics