Theoretical and Mathematical Physics

, Volume 101, Issue 3, pp 1381–1386 | Cite as

A modification of Crum's method

  • V. É. Adler


A generalization of Crum's method is proposed that makes it possible to construct new examples of Sturm-Liouville operators with spectrum that can be exactly calculated.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    M. M. Crum,Q. J. Math. Oxford (2),6, 121 (1955).Google Scholar
  2. 2.
    G. Darboux,C. R. Acad. Sci. Paris,94, 1456 (1882).Google Scholar
  3. 3.
    S. Flügge,Practical Quantum Mechanics, Vol. 1, Springer Verlag, Berlin (1971) [Russian translation published by Mir, Moscow (1974).]Google Scholar
  4. 4.
    S. Yu. Dubov, V. M. Eleonskii, and N. E. Kulagin,Zh. Eksp. Teor. Fiz.,102, 814 (1992).Google Scholar
  5. 5.
    L. Infeld and T. E. Hull,Rev. Mod. Phys.,23, 21 (1951).Google Scholar
  6. 6.
    A. P. Veselov and A. B. Shabat,Funktsional i Ego Prilozhen. (1993).Google Scholar
  7. 7.
    V. É. Adler,Funktsional Analiz i Ego Prilozhen. (1993).Google Scholar

Copyright information

© Plenum Publishing Corporation 1995

Authors and Affiliations

  • V. É. Adler

There are no affiliations available

Personalised recommendations