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RESEARCH PRODUCT
Bi-squeezed states arising from pseudo-bosons
Fabio BagarelloSalvatore SpagnoloFrancesco Garganosubject
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 Physicdescription
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.
year | journal | country | edition | language |
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2018-01-01 | Journal of Physics A: Mathematical and Theoretical |