kq-Representation for pseudo-bosons, and completeness of bi-coherent states

6533b855fe1ef96bd12b147c

RESEARCH PRODUCT

kq-Representation for pseudo-bosons, and completeness of bi-coherent states

subject

Pseudo-boson Pure mathematics Quantum Physics kq-Representation 010308 nuclear & particles physics Applied Mathematics Representation (systemics)FOS: Physical sciences Analysi Mathematical Physics (math-ph)Discrete set 01 natural sciences Completeness (order theory)0103 physical sciences Coherent states 010306 general physics Quantum Physics (quant-ph)Coherent state Settore MAT/07 - Fisica Matematica Analysis Mathematical Physics Boson Mathematics

description

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.

year	journal	country	edition	language
2017-01-01

10.1016/j.jmaa.2017.01.048 http://hdl.handle.net/10447/222449

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