2006/06/01 by Bijan Bagchi, B. Bagchi, A. Banerjee +1
Mathematics · Physics and Astronomy · #Nonlinear Photonic Systems #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #hep-th #math-ph #math.MP #quant-ph
paper · pdf · doi:10.1007/s10582-006-0385-y
published as Czech.J.Phys.56:893-898,2006 · 8 pages, no figure, to appear in special issue of Czech. J. Phys
arxiv created 2006/06/01 · openalex publication_date 2006/09/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
To lowest order of perturbation theory we show that an equivalence can be established between a \cal PT-symmetric generalized quartic anharmonic oscillator model and a Hermitian position-dependent mass Hamiltonian h. An important feature of h is that it reveals a domain of couplings where the quartic potential could be attractive, vanishing or repulsive. We also determine the associated physical quantities.