Generalized Heisenberg algebra and (non linear) pseudo-bosons

Generalized Heisenberg algebra and (non linear) pseudo-bosons

We propose a deformed version of the generalized Heisenberg algebra by using techniques borrowed from the theory of pseudo-bosons. In particular, this analysis is relevant when non self-adjoint Hamiltonians are needed to describe a given physical system. We also discuss relations with nonlinear pseu...

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Veröffentlicht in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2018-04, Vol.51 (15), p.155201
Hauptverfasser: Bagarello, F, Curado, E M F, Gazeau, J P
Format: Artikel
Sprache:eng
Schlagworte:
Astrophysics
biorthogonal bases in quantum mechanics
generalized Heisenberg algebra
Physics
pseudo-bosons
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Zusammenfassung:We propose a deformed version of the generalized Heisenberg algebra by using techniques borrowed from the theory of pseudo-bosons. In particular, this analysis is relevant when non self-adjoint Hamiltonians are needed to describe a given physical system. We also discuss relations with nonlinear pseudo-bosons. Several examples are discussed.
ISSN:1751-8113
1751-8121
DOI:10.1088/1751-8121/aaad6d