6533b7cffe1ef96bd1258d94

RESEARCH PRODUCT

Pseudo-bosons and Riesz Bi-coherent States

Fabio Bagarello

subject

Condensed Matter::Quantum GasesIdentity (mathematics)Theoretical physicsAnnihilationRiesz representation theoremQuantum mechanicsCoherent statesCommutationEigenvalues and eigenvectorsMathematicsResolution (algebra)Boson

description

After a brief review on D-pseudo-bosons we introduce what we call Riesz bi-coherent states, which are pairs of states sharing with ordinary coherent states most of their features. In particular, they produce a resolution of the identity and they are eigenstates of two different annihilation operators which obey pseudo-bosonic commutation rules.

https://doi.org/10.1007/978-3-319-31756-4_3