6533b874fe1ef96bd12d612c

RESEARCH PRODUCT

A concise review on pseudo-bosons, pseudo-fermions and their relatives

Fabio Bagarello

subject

Condensed Matter::Quantum GasesQuantum Physicspseudoboson010308 nuclear & particles physicsComputer scienceHigh Energy Physics::LatticeHilbert spaceFOS: Physical sciencesStatistical and Nonlinear PhysicsMathematical Physics (math-ph)01 natural sciencesAlgebrasymbols.namesakepseudofermionBiorthogonal system0103 physical sciencessymbolsCondensed Matter::Strongly Correlated Electrons010306 general physicsQuantum Physics (quant-ph)Mathematical PhysicsStatistical and Nonlinear Physic

description

We review some basic definitions and few facts recently established for $\D$-pseudo bosons and for pseudo-fermions. We also discuss an extended version of these latter, based on biorthogonal bases, which lives in a finite dimensional Hilbert space. Some examples are described in details.

https://dx.doi.org/10.48550/arxiv.1703.06730