The Variational Principle for the Uniform Acceleration and Quasi-Spin in Two Dimensional Space-Time

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dc.creatorMatsyuk, Roman Ya.
dc.date2008-02-06
dc.date2008-03-17
dc.date.accessioned2026-07-07T09:34:52Z
dc.date.available2026-07-07T09:34:52Z
dc.descriptionThe variational principle and the corresponding differential equation for geodesic circles in two dimensional (pseudo)-Riemannian space are being discovered. The relationship with the physical notion of uniformly accelerated relativistic particle is emphasized. The known form of spin-curvature interaction emerges due to the presence of second order derivatives in the expression for the Lagrange function. The variational equation itself reduces to the unique invariant variational equation of constant Frenet curvature in two dimensional (pseudo)-Euclidean geometry.
dc.descriptionThis is a contribution to the Proc. of the Seventh International Conference ''Symmetry in Nonlinear Mathematical Physics'' (June 24-30, 2007, Kyiv, Ukraine), published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/ Corrections: Signs in formulae 3.17, 3.18, 3.21, 3.22, next to A.14
dc.identifierhttps://arxiv.org/abs/0802.0751
dc.identifierhttp://arxiv.org/abs/0802.0751
dc.identifierSIGMA 4 (2008), 016, 11 pages
dc.identifierdoi:10.3842/SIGMA.2008.016
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159646
dc.subjectMathematical Physics
dc.subjectDifferential Geometry
dc.subject53A40; 70H50; 49N45; 83C10
dc.titleThe Variational Principle for the Uniform Acceleration and Quasi-Spin in Two Dimensional Space-Time
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