We show how the Zak kq-representation can be adapted to deal with pseudo-bosons, and under which conditions. Then we use this representation to prove completeness of a discrete set of bi-coherent states constructed by means of pseudo-bosonic operators. The case of Riesz bi-coherent states is analyzed in detail.
Bagarello, F. (2017). kq-Representation for pseudo-bosons, and completeness of bi-coherent states. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 450(1), 631-646 [10.1016/j.jmaa.2017.01.048].
kq-Representation for pseudo-bosons, and completeness of bi-coherent states
BAGARELLO, Fabio
2017-01-01
Abstract
We show how the Zak kq-representation can be adapted to deal with pseudo-bosons, and under which conditions. Then we use this representation to prove completeness of a discrete set of bi-coherent states constructed by means of pseudo-bosonic operators. The case of Riesz bi-coherent states is analyzed in detail.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
2017JMAA.pdf
Solo gestori archvio
Dimensione
431.83 kB
Formato
Adobe PDF
|
431.83 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
