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.
Bagarello, F., Curado, E., Gazeau, J. (2018). Generalized Heisenberg algebra and (non linear) pseudo-bosons. JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL, 51(15), 1-16 [10.1088/1751-8121/aaad6d].
Generalized Heisenberg algebra and (non linear) pseudo-bosons
Bagarello, F.
;
2018-01-01
Abstract
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.
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