1999/10/05 by Norman Dombey, Fuad M. Saradzhev, Fuad Saradzhev · 1 citation
Mathematics · Physics and Astronomy · #Atomic and Molecular Physics #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Discrete spectrum #Eigenvalues and eigenvectors #Energy spectrum #Hamiltonian (control theory) #Limit (mathematics) #Mathematical analysis #Mathematics #Metastability #Physics #Quantum #Quantum chaos and dynamical systems #Quantum electrodynamics #Quantum mechanics #Schrödinger equation #hep-th
paper · pdf · doi:10.1088/0305-4470/33/24/307
published in Journal of Physics A Mathematical and General 33(24), 4491-4505 (Institute of Physics) · LATEX file, 21 pp., 4 figures
arxiv created 1999/10/05 · openalex publication_date 2000/06/09 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The relativistic two-body system in (1+1)-dimensional quantum electrodynamics is studied. It is proved that the eigenvalue problem for the two-body Hamiltonian without the self-interaction terms reduces to the problem of solving a one-dimensional stationary Schrödinger-type equation with an energy-dependent effective potential which includes the δ-functional and inverted oscillator parts. The conditions determining the metastable energy spectrum are derived, and the energies and widths of the metastable levels are estimated in the limit of large particle masses. The effects of the self-interaction are discussed.