2008/06/12 by Miloslav Znojil · 4 citations
Physics and Astronomy · #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #quant-ph
paper · pdf · doi:10.1088/1751-8113/41/29/292002
published as J. Phys. A: Math. Theor. 41 (2008) 292002 · 17 pp
arxiv created 2008/06/12 · openalex publication_date 2008/06/26 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
One-dimensional scattering mediated by non-Hermitian Hamiltonians is studied. A schematic set of models is used which simulates two point interactions at a variable strength and distance. The feasibility of the exact construction of the amplitudes is achieved via the discretization of the coordinate. By direct construction it is shown that in all our models the probability is conserved. This feature is tentatively attributed to the space- and time-reflection symmetry (also known as -symmetry) of our specific Hamiltonians.