Lettere al Nuovo Cimento (1971-1985)

August 1979, Volume 25, Issue 17, pp 533–538 | Cite as

Simple examples in singular perturbation theory: Eigenvalues that do not tend to the unperturbed values as the perturbation is switched off

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• F. Calogero

Article

First Online: 02 January 2008

Received: 01 June 1979

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• 19 Citations

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Footnotes

1. (1).
   I. W. Herbst andB. Simon:Phys. Lett.,78 B, 304 (1978);80, B, 433 (1979).ADSCrossRefGoogle Scholar
2. (2).
   F. Dyson:Phys. Rev.,85, 631 (1952).MathSciNetADSCrossRefGoogle Scholar
3. (4).
   F. Calogero:Phys. Rev.,139, B 602 (1965).MathSciNetADSCrossRefGoogle Scholar
4. (5).
   The basic reference is:T. Kato:Perturbation Theory of Linear Operators (Berlin, 1966). See also:M. Reed andB. Simon:Methods of Modern Mathematical Physics.—IV:Analysis of Operators (New York, N. Y., 1978);B. Simon:Ann. Phys.,58, 76 (1970);W. M. Greenelee:Arch. Rat. Mech. Anal.,34, 143 (1969).Google Scholar
5. (6).
   G. A. Baker jr.:Rev. Mod. Phys.,43, 479 (1971).ADSCrossRefGoogle Scholar
6. (7).
   F. Calogero andF. Palumbo:Journ. Math. Phys.,16, 2103 (1975);F. Calogero andA. Degasperis:Nuovo Cimento,33 B, 467 (1976).MathSciNetADSCrossRefGoogle Scholar
7. (8).
   F. Calogero:Nuovo Cimento,30, 916 (1963).MathSciNetCrossRefGoogle Scholar
8. (9).
   J. R. Klauder:Acta Phys. Austriaca, Suppl.,11, 341 (1973).Google Scholar

Copyright information

© Società Italiana di Fisica 1979

Authors and Affiliations

• F. Calogero
  • 1

1. 1.Institute of Theoretical PhysicsGroningenThe Netherlands