We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Scalarization of stationary semiclassical problems for systems of equations and its application in plasma physics.
- Authors
Anikin, A.; Dobrokhotov, S.; Klevin, A.; Tirozzi, B.
- Abstract
We propose a method for determining asymptotic solutions of stationary problems for pencils of differential ( and pseudodifferential) operators whose symbol is a self-adjoint matrix. We show that in the case of constant multiplicity, the problem of constructing asymptotic solutions corresponding to a distinguished eigenvalue ( called an effective Hamiltonian, term, or mode) reduces to studying objects related only to the determinant of the principal matrix symbol and the eigenvector corresponding to a given ( numerical) value of this effective Hamiltonian. As an example, we show that stationary solutions can be effectively calculated in the problem of plasma motion in a tokamak.
- Subjects
PLASMA physics; DIFFERENTIAL equations; ASYMPTOTIC theory of algebraic ideals; ADJOINT operators (Quantum mechanics); EIGENVALUES; TOKAMAKS
- Publication
Theoretical & Mathematical Physics, 2017, Vol 193, Issue 3, p1761
- ISSN
0040-5779
- Publication type
Article
- DOI
10.1134/S0040577917120042