Monopoles and instantons from Berry's phase

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

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
Volume30
Issue number8
Publication statusPublished - 1989

Fingerprint

Berry Phase
Hamiltonians
Monopole
Instantons
instantons
monopoles
Momentum
Magnetic fields
particle mass
Higher Dimensions
Paul Adrien Maurice Dirac
Jump
High-dimensional
Magnetic Field
momentum
Series
Zero
Arbitrary
magnetic fields

ASJC Scopus subject areas

  • Organic Chemistry

Cite this

Monopoles and instantons from Berry's phase. / Benedict, M.; Fehér, L.; Horváth, Z.

In: Journal of Mathematical Physics, Vol. 30, No. 8, 1989, p. 1727-1731.

Research output: Contribution to journalArticle

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