2015/10/01 by Avinash Khare, Avadh Saxena, Khare, Avinash +1
Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Quantum Mechanics and Non-Hermitian Physics #nlin.SI
paper · pdf · doi:10.48550/arxiv.1510.00446
11 pages, no figures
arxiv created 2015/10/01 · openalex publication_date 2015/10/01 · arxiv updated 2015/10/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A PT-symmetric dimer is a two-site nonlinear oscillator or a nonlinear Schrödinger dimer where one site loses and the other site gains energy at the same rate. We present a wide class of integrable oscillator type dimers whose Hamiltonian is of arbitrary even order. Further, we also present a wide class of integrable and superintegrable nonlinear Schrödinger type dimers where again the Hamiltonian is of arbitrary even order.