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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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Lettere al Nuovo Cimento (1971-1985)

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Footnotes

  1. I. W. Herbst andB. Simon:Phys. Lett.,78 B, 304 (1978);80, B, 433 (1979).

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  2. F. Dyson:Phys. Rev.,85, 631 (1952).

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  3. F. Calogero:Phys. Rev.,139, B 602 (1965).

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  4. 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).

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  6. F. Calogero andF. Palumbo:Journ. Math. Phys.,16, 2103 (1975);F. Calogero andA. Degasperis:Nuovo Cimento,33 B, 467 (1976).

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  7. F. Calogero:Nuovo Cimento,30, 916 (1963).

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  8. J. R. Klauder:Acta Phys. Austriaca, Suppl.,11, 341 (1973).

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  1. F. Calogero

    Present address: Istituto di Fisica dell'Università, 00185, Roma, Italia

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  1. Institute of Theoretical Physics, Groningen, The Netherlands

    F. Calogero

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Calogero, F. Simple examples in singular perturbation theory: Eigenvalues that do not tend to the unperturbed values as the perturbation is switched off. Lett. Nuovo Cimento 25, 533–538 (1979). https://doi.org/10.1007/BF02776352

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