New version of pseudo-hermiticity in the two-sided deformation of Heisenberg algebra

DOI10.1142/S0217732316500243zbMath1335.81090arXiv1503.04143MaRDI QIDQ2797702

Alexandre M. Gavrilik, Ivan I. Kachurik

Publication date: 6 April 2016

Published in: Modern Physics Letters A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.04143

zbMATH Keywords

deformed oscillator algebradeformed Heisenberg algebraposition and momentum operators\(\eta(N)\)-pseudo-Hermitian conjugation\(\eta(N)\)-pseudo-hermiticity

Mathematics Subject Classification ID

Many-body theory; quantum Hall effect (81V70) Operator algebra methods applied to problems in quantum theory (81R15) Formal methods and deformations in algebraic geometry (14D15) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)

Related Items (2)

Nonstandard deformed oscillators from \(q\)- and \(p,q\)-deformations of Heisenberg algebra ⋮ Pseudo-Hermitian position and momentum operators, Hermitian Hamiltonian, and deformed oscillators

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