Scalarization of stationary semiclassical problems for systems of equations and its application in plasma physics

DOI10.1134/S0040577917120042zbMath1393.82023OpenAlexW2781887324MaRDI QIDQ1708353

A. I. Klevin, S. Yu. Dobrokhotov, A. Yu. Anikin, Brunello Tirozzi

Publication date: 5 April 2018

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

Full work available at URL: https://doi.org/10.1134/s0040577917120042

zbMATH Keywords

eigenvalue problemtokamakoperator pencilsemi-classical asymptotic behaviortwo-component plasma equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Statistical mechanics of plasmas (82D10) Nuclear reactor theory; neutron transport (82D75) Matrix pencils (15A22) Second-order elliptic systems (35J47) Pencils, nets, webs in algebraic geometry (14C21) PDEs in connection with statistical mechanics (35Q82)

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Cites Work

• Maslov complex germ and high-frequency Gaussian beams for cold plasma in a toroidal domain
• Caustics of interior scattering
• Operator separation of variables for adiabatic problems in quantum and wave mechanics
• On the construction of quasimodes associated with stable periodic orbits
• Averaging and trajectories of a Hamiltonian system appearing in graphene placed in a strong magnetic field and a periodic potential
• The semiclassical Maupertuis-Jacobi correspondence and applications to linear water wave theory
• The Maupertuis-Jacobi principle for Hamiltonians of the form \(F(x,|p|)\) in two-dimensional stationary semiclassical problems
• The Maupertuis Principle and Canonical Transformations of the Extended Phase Space
• Initial Value Solution of Maxwell's Equations in Cold Plasma
• Isotropic tori, complex germ and Maslov index, normal forms and quasimodes of multidimensional spectral problems
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