6533b7d7fe1ef96bd12685ed

RESEARCH PRODUCT

Pseudobosons, Riesz bases, and coherent states

Fabio Bagarello

subject

PhysicsExplicit modelFOS: Physical sciencesStatistical and Nonlinear PhysicsMathematical Physics (math-ph)pseudo-bosoncoherent statesSymmetry (physics)Canonical commutation relationTheoretical physicsCoherent statesSettore MAT/07 - Fisica MatematicaMathematical PhysicsEigenvalues and eigenvectorsBoson

description

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.

yearjournalcountryeditionlanguage
2010-01-01Journal of Mathematical Physics
https://doi.org/10.1063/1.3300804