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://ucris.univie.ac.at/portal/en/publications/the-spinless-relativistic-kinklike-problem(06126d2e-a47b-4660-9c5b-f058ef2fd552).html