Monopoles and instantons from Berry's phase

Research output: Contribution to journalArticle

12 Citations (Scopus)


The topological phase picked up by an arbitrary spin undergoing a cyclic series of quantum jumps is deduced by geometric considerations. Generalizing the Hamiltonian of a spin in a magnetic field, higher-dimensional Dirac monopoles are derived from the non-Abelian adiabatic phase. These monopoles appear in the momentum space description of zero mass particles in higher dimensions.

Original languageEnglish
Pages (from-to)1727-1731
Number of pages5
JournalJournal of Mathematical Physics
Issue number8
Publication statusPublished - Jan 1 1989

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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