1999/11/13 by T. Shigehara, Takaomi Shigehara, Hiroshi Mizoguchi +8
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Quantum Chromodynamics and Particle Interactions #Quantum Physics (quant-ph) #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics #quant-ph
paper · pdf · doi:10.48550/arxiv.quant-ph/9911059
LaTeX 4 Pages, Talk to be presented at The 1999 International Symposium on Nonlinear Theory and Its Applications (NOLTA99) Hilton Waikoloa Village, Hawaii, USA, Nov 28 - Dec 2, 1999
arxiv created 1999/11/13 · openalex publication_date 1999/11/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We first give the solution for the local approximation of a four parameter family of generalized one-dimensional point interactions within the framework of non-relativistic model with three neighboring δ functions. We also discuss the problem within relativistic (Dirac) framework and give the solution for a three parameter family. It gives a physical interpretation for so-called ε potential. It will be also shown that the scattering properties at high energy substantially differ between non-relativistic and relativistic cases.