The spinless relativistic kink-like problem

Author(s)
Wolfgang Lucha, Franz F. Schoeberl
Abstract

We constrain the possible bound-state solutions of the spinless Salpeter equation (the most obvious semirelativistic generalization of the nonrelativistic Schrödinger equation) with an interaction between the bound-state constituents given by the kink-like potential (a central potential of hyperbolic-tangent form) by formulating a bunch of very elementary boundary conditions to be satisfied by all solutions of the eigenvalue problem posed by a bound-state equation of this type, only to learn that all results produced by a procedure very much liked by some quantum-theory practitioners prove to be in severe conflict with our expectations.

Organisation(s)
Particle Physics
External organisation(s)
Österreichische Akademie der Wissenschaften (ÖAW)
Journal
International Journal of Modern Physics A
Volume
30
No. of pages
9
ISSN
0217-751X
DOI
https://doi.org/10.1142/S0217751X15500621
Publication date
04-2015
Peer reviewed
Yes
Austrian Fields of Science 2012
103024 Quantum field theory, 103036 Theoretical physics
Keywords
ASJC Scopus subject areas
Astronomy and Astrophysics, Nuclear and High Energy Physics, Atomic and Molecular Physics, and Optics
Portal url
https://ucrisportal.univie.ac.at/en/publications/the-spinless-relativistic-kinklike-problem(06126d2e-a47b-4660-9c5b-f058ef2fd552).html