Il Nuovo Cimento A (1965-1970)

, Volume 50, Issue 4, pp 457–465 | Cite as

Eigenvalue problem for singular potentials

  • C. Burnap
  • W. Greenberg
  • P. F. Zweifel


The self-adjoint extensions of −d2/dx2−λx −n ,n≧2, on [0, ∞) are described in terms of an inhomogeneous boundary value problem. The eigenvalue equation may be obtained in terms of the connection coefficients, connecting the solutions at zero and infinity.


Si descrivono le estensioni autoaggiunte di −d2/dx2−λx −n ,n≧2, su [0, ∞) in termini di un problema di valore limite inomogeneo. L’equazione di autovalore può essere ottenuta in termini di coefficienti di connessione, che connettono le soluzioni allo zero e all’infinito.


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Copyright information

© Società Italiana di Fisica 1979

Authors and Affiliations

  • C. Burnap
    • 1
  • W. Greenberg
    • 2
  • P. F. Zweifel
    • 2
  1. 1.University of FloridaGainesville
  2. 2.Virginia Polytechnic Institute and State UniversityBlacksburg

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