Noncommutative integration and symmetry algebra of the Dirac equation on the Lie groups

DOI10.1007/s11182-016-0885-6zbMath1384.35104OpenAlexW2560679141WikidataQ115381247 ScholiaQ115381247MaRDI QIDQ1696010

A. I. Breev, Elena Mosman

Publication date: 14 February 2018

Published in: Russian Physics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11182-016-0885-6

zbMATH Keywords

Dirac equationsymmetry algebranoncommutative integration

Mathematics Subject Classification ID

PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Vacuum averages of the energy-momentum tensor of a scalar field in homogeneous spaces with a conformal metric
• The Dirac equation and its solutions
• Schrödinger equation with convolution nonlinearity on Lie groups and commutative homogeneous spaces
• Polarization of a scalar field vacuum on a manifold conformally equivalent to the manifold \(R \otimes G\)
• The method of noncommutative integration for linear differential equations. Functional algebras and noncommutative dimensional reduction
• Some problems of the existence of symmetry spinor operators for the Dirac equation
• Noncommutative integration of linear differential equations
• On Killing tensors in a Riemannian space

This page was built for publication: Noncommutative integration and symmetry algebra of the Dirac equation on the Lie groups