-symmetric model with an interplay between kinematical and dynamical non-localities. (22nd April 2015)

• Record Type: Journal Article
• Authors: Znojil, Miloslav
• Is Part Of: Journal of physics. Volume 48:Number 19(2015)
• Publication Date: 2015-04-22
• Subjects: non-Hermitian long-range interactions -- closed-form constructions of bound states -- physical inner products; Mathematical physics -- Periodicals; Statistical physics -- Periodicals; Quantum theory -- Periodicals; Matter -- Properties -- Periodicals; 530.105
• DOI: 10.1088/1751-8113/48/19/195303
• Languages: English
• ISSNs: 1751-8113

Abstract

Abstract: A new family of non-Hermitian -symmetric quantum models is proposed in which the Hamiltonians are finite-dimensional and in which the dynamical-input potential V is multi-parametric and non-local. The choice is supported by the exact solvability of Schrödinger equation and by the well known fact that in -symmetric models a non-locality is already present due to the generic kinematical non-diagonality of the Hermitizing metrics Θ . For a subfamily of our H s, also all of the eligible metrics Θ appear obtainable in closed form.