6533b838fe1ef96bd12a46a5

RESEARCH PRODUCT

Construction of pseudo-bosons systems

Fabio Bagarello

subject

Quantum PhysicsComputer sciencequantum mechanicsCreation and annihilation operatorsFOS: Physical sciencesStatistical and Nonlinear PhysicsContext (language use)Mathematical Physics (math-ph)pseudo-bosonConnection (mathematics)Canonical commutation relationAlgebraCoherent statesSupersymmetric quantum mechanicsQuantum statistical mechanicsRepresentation (mathematics)Quantum Physics (quant-ph)Settore MAT/07 - Fisica MatematicaMathematical Physics

description

In a recent paper we have considered an explicit model of a PT-symmetric system based on a modification of the canonical commutation relation. We have introduced the so-called {\em pseudo-bosons}, and the role of Riesz bases in this context has been analyzed in detail. In this paper we consider a general construction of pseudo-bosons based on an explicit {coordinate-representation}, extending what is usually done in ordinary supersymmetric quantum mechanics. We also discuss an example arising from a linear modification of standard creation and annihilation operators, and we analyze its connection with coherent states.

yearjournalcountryeditionlanguage
2010-01-01
http://hdl.handle.net/10447/56147