@inbook{b23d4d45a1aa4b6e8e54433c8d397efa,

title = "Two-dimensional noncommutative swanson model and its bicoherent states",

abstract = "We introduce an extended version of the Swanson model, defined on a two-dimensional noncommutative space, which can be diagonalized exactly by making use of pseudo-bosonic operators. Its eigenvalues are explicitly computed and the biorthogonal sets of eigenstates of the Hamiltonian and of its adjoint are explicitly constructed.We also show that it is possible to construct two displacement-like operators from which a family of bi-coherent states can be obtained. These states are shown to be eigenstates of the deformed lowering operators, and their projector allows to produce a suitable resolution of the identity in a dense subspace of L 2 (R 2 ).",

keywords = "Coherent states, Mathematics (all), Pseudo-bosons, Swanson model, Coherent states, Mathematics (all), Pseudo-bosons, Swanson model",

author = "Fabio Bagarello and Salvatore Spagnolo and Francesco Gargano and Fabio Bagarello",

year = "2019",

language = "English",

isbn = "978-3-030-01155-0",

series = "TRENDS IN MATHEMATICS",

pages = "9--19",

booktitle = "Trends in Mathematics",

}