6533b829fe1ef96bd128998d

RESEARCH PRODUCT

Bi-squeezed states arising from pseudo-bosons

Fabio BagarelloSalvatore SpagnoloFrancesco Gargano

subject

Statistics and ProbabilityMathematical propertiesFOS: Physical sciencesGeneral Physics and Astronomysqueezed state01 natural sciences010305 fluids & plasmasModeling and simulationPhysics and Astronomy (all)Theoretical physics0103 physical sciencesMathematical PhysicPoint (geometry)010306 general physicsSettore MAT/07 - Fisica MatematicaQuantumMathematical PhysicsBosonPhysicsQuantum PhysicsStatistical and Nonlinear PhysicsProbability and statisticsMathematical Physics (math-ph)pseudo-bosonModeling and SimulationCoherent statesQuantum Physics (quant-ph)Coherent stateStatistical and Nonlinear Physic

description

Extending our previous analysis on bi-coherent states, we introduce here a new class of quantum mechanical vectors, the \emph{bi-squeezed states}, and we deduce their main mathematical properties. We relate bi-squeezed states to the so-called regular and non regular pseudo-bosons. We show that these two cases are different, from a mathematical point of view. Some physical examples are considered.

https://doi.org/10.1088/1751-8121/aae165