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Part of the book series: Texts and Monographs in Physics ((TMP))

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Abstract

In this chapter perturbation theory is developed in a general form that is easily adaptable to the discrete as well as the continuous spectrum. At the end of Section VIII.1 the Wigner-Brillouin and the Rayleigh-Schrödinger perturbation expansions are obtained as special cases. Section VIII.2 applies this general procedure to the continuous spectrum and results in the Lippmann-Schwinger equation.

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References

  1. We revert to the usual cgs units in this chapter.

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  2. The following treatment of perturbation theory is based on the Goldberger-Watson Collision Theory (1964), Section 8.1. It has been chosen because it displays the connection between the cases of the discrete and the continuous spectrum.

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© 1986 Springer Science+Business Media New York

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Bohm, A. (1986). Perturbation Theory. In: Quantum Mechanics: Foundations and Applications. Texts and Monographs in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-01168-3_8

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  • DOI: https://doi.org/10.1007/978-3-662-01168-3_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13985-0

  • Online ISBN: 978-3-662-01168-3

  • eBook Packages: Springer Book Archive

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