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arXiv · hep-th/0102004

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

J. Beckers·J. F. Cariñena·N. Debergh·G. Marmo
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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.

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J. Beckers, J. F. Cariñena, N. Debergh, G. Marmo. 2001-02-01. Non-Hermitian oscillator-like Hamiltonians and $λ$-coherent states revisited. https://doi.org/10.1142/s021773230100295x

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