Il Nuovo Cimento (1955-1965)

, Volume 38, Issue 4, pp 1720–1739 | Cite as

The construction of a separable Hamiltonian

  • D. B. Pearson


Assuming the scattering amplitude to have a particularly-simple separable form, a method is given of constructing a Hamiltonian. Under quite general conditions, the Hamiltonian is shown to be Hermitian, and to have simple analytic properties in the energy variable.


Supponendo che l’ampiezza di scattering abbia uua forma separabile particolar mente semplice, si espone un metodo per contraire un hamiltoniano. Entro condizioni abbastanza generali, si dimostra che l’hamiltoniano è hermitiano e che ha proprietà analitiche semplioi nella variabile enèrgia.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. (1).
    R. Jacob andR. Sachs:Phys. Rev.,121, 350 (1961).MathSciNetADSCrossRefGoogle Scholar
  2. (2).
    M. Goldberger andK. Watson:Phys. Rev.,127, 2284 (1962).MathSciNetADSCrossRefMATHGoogle Scholar
  3. (3).
    D. Branson:Phys. Rev.,135, 1255 (1964).MathSciNetADSCrossRefGoogle Scholar
  4. (4).
    R. Jost andW. Kohn:Math. Phys. Medd.,27, 9 (1953).MathSciNetGoogle Scholar
  5. (5).
    I. Gel’fand andB. M. Lévitan:Amer. Math. Soc. Trans.,1, 253 (1955).MATHGoogle Scholar
  6. (6).
    C. Lovelace:Edinburgh Lecture Notes (1963).Google Scholar
  7. (7).
    M. Gourdin andA. Martin:Nuovo Cimento,6, 757 (1957).MathSciNetCrossRefMATHGoogle Scholar
  8. (8).
    M. Gourdin andA. Martin:Nuovo Cimento,8, 699 (1958).CrossRefGoogle Scholar
  9. (9).
    R. Omnès:Nuovo Cimento,8, 316 (1958).CrossRefMATHGoogle Scholar
  10. (10).
    D. Pearson:On the iteration of a singular integral equation, University of Hull preprint.Google Scholar
  11. (11).
    H. Ekstein:Phys. Rev.,117, 1590 (1960).MathSciNetADSCrossRefMATHGoogle Scholar

Copyright information

© Società Italiana di Fisica 1965

Authors and Affiliations

  • D. B. Pearson
    • 1
  1. 1.Department of MathematicsThe University of HullHull

Personalised recommendations