2005/03/31 by J. Besprosvany, Jaime Besprosvany, Alejandro Ayala
Physics and Astronomy · #Cosmology and Gravitation Theories #High-Energy Particle Collisions Research #Quantum, superfluid, helium dynamics #astro-ph #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.71.113011
published as Phys.Rev. D71 (2005) 113011 · 15 pages, 5 figures
openalex publication_date 2005/06/28 · arxiv created 2005/07/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We obtain the exact solution of the Klein-Gordon equation describing the propagation of a particle in two regions of different constant magnetic field, separated by an infinite plane wall. The continuity of the wave function and of its derivative at the interface is satisfied when including evanescent-wave terms. We analyze solutions on truncated spaces and compare them with previously obtained approximate solutions. The findings of this work have applications in the problem of the propagation of particles in the presence of a bubble wall in the midsts of an electroweak phase transition, where the two regions separated by the wall are influenced by different (hyper)magnetic-field strengths.