A description of pseudo-bosons in terms of nilpotent Lie algebras

DOI10.1016/j.geomphys.2017.12.002zbMath1481.17017arXiv1712.04631OpenAlexW2775816449MaRDI QIDQ681802

Francesco G. Russo, Fabio Bagarello

Publication date: 13 February 2018

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.04631

zbMATH Keywords

Hilbert spaceLie algebrasSchur multiplierpseudo-bosonic operatorsSwanson model

Mathematics Subject Classification ID

Representations of topological algebras with involution (46K10) Algebras of unbounded operators; partial algebras of operators (47L60) Solvable, nilpotent (super)algebras (17B30) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60)

Related Items (6)

On the presence of families of pseudo-bosons in nilpotent Lie algebras of arbitrary corank ⋮ Bounds for the dimension of the Schur multiplier of finite dimensional nilpotent Lie algebras ⋮ Topological decompositions of the Pauli group and their influence on dynamical systems ⋮ Generalized Riesz systems and quasi bases in Hilbert space ⋮ Coupled Susy, pseudo-bosons and a deformed su(1,1) Lie algebra ⋮ Abstract ladder operators and their applications

Uses Software

• GAP

Cites Work

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