6533b837fe1ef96bd12a1d11

RESEARCH PRODUCT

Linear pseudo-fermions

Fabio Bagarello

subject

Statistics and ProbabilityPhysicsSeries (mathematics)pseudo-fermionsStructure (category theory)General Physics and AstronomyFOS: Physical sciencesStatistical and Nonlinear PhysicsFermionMathematical Physics (math-ph)Deformation (meteorology)Theoretical physicsModeling and SimulationSettore MAT/07 - Fisica MatematicaMathematical Physics

description

In a recent series of papers we have analyzed a certain deformation of the canonical commutation relations producing an interesting functional structure which has been proved to have some connections with physics, and in particular with quasi-hermitian quantum mechanics. Here we repeat a similar analysis starting with the canonical anticommutation relations. We will show that in this case most of the assumptions needed in the former situation are automatically satisfied, making our construction rather {\em friendly}. We discuss some examples of our construction, again related to quasi-hermitian quantum mechanics, and the bi-coherent states for the system.

yearjournalcountryeditionlanguage
2012-01-01
http://hdl.handle.net/10447/73935