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Non-Hermitian oscillator-like Hamiltonians and $λ$-coherent states revisited

arXiv:hep-th/0102004 · doi:10.1142/S021773230100295X

Abstract

Previous $λ$-deformed {\it non-Hermitian} Hamiltonians with respect to the usual scalar product of Hilbert spaces dealing with harmonic oscillator-like developments are (re)considered with respect to a new scalar product in order to take into account their property of self-adjointness. The corresponding deformed $λ$-states lead to new families of coherent states according to the DOCS, AOCS and MUCS points of view.

10 pages