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.
2017
Settore MAT/07 - Fisica Matematica
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].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/222449
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