Solutions of the Dirac equation for fermions in Skyrme fields

John R Hiller, Thomas F. Jordan

Research output: Contribution to journalArticlepeer-review

12 Scopus citations


Solutions of the Dirac equation are obtained for bound states of fermions in step-function Skyrme fields in three-dimensional space. When the local structure of the Skyrme field is changed, but its topological number is not, bound states appear and disappear, and the energy of a bound state can change from positive to negative, which indicates a change in the spectral asymmetry. These results are compared with similar ones for one-dimensional space and discussed in relation to the fermion number of the many-particle ground state.

Original languageEnglish (US)
Pages (from-to)1176-1183
Number of pages8
JournalPhysical Review D
Issue number4
StatePublished - 1986

Bibliographical note

Copyright 2015 Elsevier B.V., All rights reserved.


Dive into the research topics of 'Solutions of the Dirac equation for fermions in Skyrme fields'. Together they form a unique fingerprint.

Cite this