arXiv:1001.1136 [math-ph]AbstractReferencesReviewsResources
Pseudo-bosons, Riesz bases and coherent states
Published 2010-01-07Version 1
In a recent paper, Trifonov suggested a possible explicit model of a PT-symmetric system based on a modification of the canonical commutation relation. Although being rather intriguing, in his treatment many mathematical aspects of the model have just been neglected, making most of the results of that paper purely formal. For this reason we are re-considering the same model and we repeat and extend the same construction paying particular attention to all the subtle mathematical points. From our analysis the crucial role of Riesz bases clearly emerges. We also consider coherent states associated to the model.
Comments: in press in journal of mathematical physics
DOI: 10.1063/1.3300804
Subjects: 11.30.Er
Keywords: coherent states, pseudo-bosons, riesz bases clearly emerges, canonical commutation relation, explicit model
Tags: journal article
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