Abstract
The equations describing quasiparticles that correspond to classical self-consistent fields are reduced to a form symmetric with respect to an indefinite metric.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
V. P. Maslov, “The integral equationu(x)=F(x)+∫ G(x, ξ)u k/2+ (ξ) dξ/ ∫ u k/2+ (ξ) dξFunktsional. Anal. i Prilozhen. [Functional Anal. Appl.],28, No. 1, 41–50 (1994).
V.P. Maslov, “The integral equationu(x)=F(x)+∫ G(x, ξ)u k/2+ (ξ) dξ/ ∫ u k/2+ (ξ) dξ forn=2 andn=3,”Mat. Zametki [Math. Notes],55, No. 3, 96–108 (1994).
S. I. Pokhozhaev, “On Maslov equations,”Differentsial'nye Uravneniya [Differential Equations],31, No. 2, 338–349 (1995).
V. P. Maslov, “Quasiparticles associated with Lagrangian manifolds corresponding to classical self-consistent fields. II,”Russ. J. Math. Phys.,3, No. 1, 123–132 (1995).
V. P. Maslov, “Quasiparticles associated with Lagrangian manifolds and (in the ergodic case) with constant energy manifolds corresponding to semiclassical self-consistent fields,”Russ. J. Math. Phys.,3, No. 4, 529–534 (1995).
V. P. Maslov and O. Yu. Shvedov, “Quantization near classical solutions is theN-particle problem and superfluidity,”Teoret. Mat. Fiz. [Theoret. and Math. Phys.],98, No. 2, 266–288 (1994).
Author information
Authors and Affiliations
Additional information
Translated fromMatematicheskie Zametki, Vol. 60, No. 5, pp. 692–707, November, 1996.
This research was supported by the Russian Foundation for Basic Research under grant No. 96-01-01544.
Rights and permissions
About this article
Cite this article
Maslov, V.P., Ruuge, A.É. Some identities for the integro-differential equations describing quasiparticles on an isoenergetic surface. Math Notes 60, 519–530 (1996). https://doi.org/10.1007/BF02309166
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02309166