Skip to main content
Log in

Modes and quasimodes

  • Published:
Functional Analysis and Its Applications Aims and scope

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Literature Cited

  1. R. Perrin, Selection rules for the splitting of degenerate pairs of natural frequencies of thin circular rings, Acustica,25, No. 2, 69–72 (1971).

    Google Scholar 

  2. R. Thom and H. Levine, Singularities of Differentiable Mappings [Russian translation], Mir, Moscow (1968).

    Google Scholar 

  3. L. D. Landau and E. M. Lifshitz, Quantum Mechanics. Non-relativistic Theory, Addison-Wesley (1958).

  4. V. I. Arnol'd, Singularities of smooth mappings, Uspekhi Matem. Nauk,23, No. 1, 3–44 (1968).

    Google Scholar 

  5. R. Thom, Les symetries brisees en physique macroscopique et la mécanique quantique, Publ. IHES (1970).

  6. J. B. Keller and S. I. Rubinow, Asymptotic solution of eigenvalue problems, Ann. Phys.,9, No. 1, 24–75 (1960).

    Google Scholar 

  7. A. I. Baz’, Ya. B. Zel'dovich, and A. M. Perelomov, Scattering, Reactions and Decay in Nonrelativistic Quantum Mechanics, Nauka, Moscow (1971). English translation, Israel Program for Scientific Translations, Ltd., Jerusalem (1969).

    Google Scholar 

  8. V. M. Babich, V. S. Buldyrev, and V. F. Lazutkin, Application of the methods of mathematical diffraction theory to the problem of the asymptotics of the characteristic numbers and functions of Laplace operators, Partial Differential Equations, Sibirsk. Otdel., Akad. Nauk SSSR, Moscow (1970).

    Google Scholar 

  9. V. P. Bykov and L. A. Vainshtein, High Power Electronics,4, Nauka, Moscow (1965).

    Google Scholar 

Download references

Authors

Additional information

Moscow State University. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 6, No. 2, pp. 12–20, April–June, 1972.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Arnol'd, V.I. Modes and quasimodes. Funct Anal Its Appl 6, 94–101 (1972). https://doi.org/10.1007/BF01077511

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01077511

Keywords

Navigation