Construction of invariant scalar particle wave equations on Riemannian manifolds with external gauge fields

DOI10.1007/s11232-008-0087-7zbMath1151.81331OpenAlexW2028983493WikidataQ115380638 ScholiaQ115380638MaRDI QIDQ954345

O. L. Kurnyavko, Igor V. Shirokov

Publication date: 10 November 2008

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-008-0087-7

zbMATH Keywords

Lie algebraLie groupRiemannian spacegauge fieldscalar particlegroup of motionsKlein-gordon equation

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Quantum field theory on curved space or space-time backgrounds (81T20) Applications of Lie groups to the sciences; explicit representations (22E70)

Related Items (1)

Integrating Klein-Gordon-Fock equations in an external electromagnetic field on Lie groups

Cites Work

• Noncommutative integration of linear differential equations
• Integration of geodesic flows on homogeneous spaces: the case of a wild Lie group
• Prolongations of vector fields on Lie groups and homogeneous spaces
• Magnetic geodesic flows on coadjoint orbits
• Unnamed Item
• Unnamed Item

This page was built for publication: Construction of invariant scalar particle wave equations on Riemannian manifolds with external gauge fields