Trajectories of charged particles in Kähler magnetic fields
type: Item
instance of: scholarly article
title: Trajectories of charged particles in Kähler magnetic fields
zbMATH Open document ID: 0896.58031
DOI: 10.1016/S0034-4877(97)89750-9
author: Dmitry A. Kalinin
published in: Reports on Mathematical Physics
publication date: 1998-03-12T00:00:00Z
review text: The author investigates Hamiltonian flows on a Kähler manifold whose flow lines are \(H\)-planar curves. This means that the covariant derivative of the tangent \(\gamma'\) of every such flow line is contained in the complex line spanned by \(\gamma'\). He derives some equivalent local formulations of this condition and shows that the gradient flow lines of such a Hamiltonian function \(\kappa\) are \(H\)-planar as well. Finally he computes some more explicit formula for the flow lines of a Kähler magnetic field on a pseudo-Kähler manifold of constant holomorphic curvature. No applications of this local representation are given.
Mathematics Subject Classification ID: 37J99
Mathematics Subject Classification ID: 37D40
Mathematics Subject Classification ID: 53D25
Mathematics Subject Classification ID: 37C10
zbMATH DE Number: 1091052
zbMATH Keywords: local formulas
zbMATH Keywords: Hamiltonian flows
zbMATH Keywords: Kähler manifold
MaRDI profile type: Publication
cites work: Kähler magnetic flows for a manifold of constant holomorphic sectional curvature
cites work: Quantization of K\"ahler manifolds admitting $H$-projective mappings
cites work: Q4692311
cites work: Geometric quantization of Chern-Simons gauge theory
cites work: Hermitian and Kählerian geometry in relativity
cites work: \(H\)-projectively equivalent Riemannian connections
cites work: Q5565587
cites work: Quantization of the moment map of coupled harmonic oscillators
cites work: Q5830177
cites work: Q3776971
cites work: Geometric quantization and quantum mechanics
cites work: Q3721327
full work available at URL: s0034-4877(97)89750-9
OpenAlex ID: W2017870227
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description: scientific article; zbMATH DE number 1091052