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Integral Equations Arising in the Open System Theory

In: Theory and Applications of Some New Classes of Integral Equations

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  • A. G. Ramm

    (University of Michigan, Department of Mathematics)

Abstract

In quantum mechanics, in potential scattering theory, and in diffraction theory it is important to know the complex poles of Green’s functions. These poles determine energy losses in open systems, and are called resonances in quantum mechanics (see Baz et al. [1], Lifschitz [1]). Here we give a general method for numerical calculation of these complex poles. The method is described for quantum mechanics scattering problems and for diffraction problems.

Suggested Citation

  • A. G. Ramm, 1980. "Integral Equations Arising in the Open System Theory," Springer Books, in: Theory and Applications of Some New Classes of Integral Equations, chapter 0, pages 190-205, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4613-8112-9_5
    DOI: 10.1007/978-1-4613-8112-9_5
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