2000/10/20 by M. van Iersel, Miranda van Iersel, C. F. M. van der Burgh +4
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Nuclear physics research studies #Quantum Chromodynamics and Particle Interactions #Quantum Mechanics and Non-Hermitian Physics #hep-ph
paper · pdf · doi:10.48550/arxiv.hep-ph/0010243
arxiv created 2000/10/20 · openalex publication_date 2000/10/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We have used different methods to obtain the bound states of a Hamiltonian of a relativistic two scalar particle system in a local potential. The potentials we are interested in are binding and confining potentials, that are associated with particle exchange. The issues we concentrate on when comparing the different methods are ease of numerical implementation, accuracy and stability. To check our codes we have made use of several potentials for which the bound states are known in the nonrelativistic situation. Finally we calculate the bound states for the Yukawa potential in the relativistic situation and look at the collapse of the wave functions in this situation.