Some identities for the integro-differential equations describing quasiparticles on an isoenergetic surface

DOI10.1007/BF02309166zbMath0897.45013OpenAlexW2070028862MaRDI QIDQ1387390

V. P. Maslov, Artur E. Ruuge

Publication date: 4 June 1998

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02309166

zbMATH Keywords

integro-differential equationsspectrumergodicityindefinite metricergodic dynamical systemquasiparticlesself-consistent potential

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Other elementary particle theory in quantum theory (81V25)

Cites Work

• Unnamed Item
• Quasi-particles associated with Lagrangian manifolds and (in the ergodic case) with constant energy manifolds corresponding to semiclassical self-consistent fields. V
• Quasi-particles associated with Lagrangian manifolds corresponding to classical self-consistent fields. II
• On the integral equation \(u(x)=F(x)+\int G(x,\xi)u_ +^{k/2}(\xi)d\xi/\int u_ +^{k/2}(\xi)d\xi\)

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