Separable Operators in Scattering Theory | Zendy

J. Gillespie | Zendy

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Separable Operators in Scattering Theory

Author(s) -

J. Gillespie

Publication year - 1967

Publication title -

physical review

Language(s) - English

Resource type - Journals

eISSN - 1536-6065

pISSN - 0031-899X

DOI - 10.1103/physrev.160.1432

Subject(s) - separable space , formalism (music) , eigenvalues and eigenvectors , physics , scattering , limiting , quasiparticle , scattering theory , quantum mechanics , theoretical physics , mathematics , mathematical analysis , mechanical engineering , art , musical , superconductivity , engineering , visual arts

A general theory of non-local, separable operators in scattering theory is developed on the basis of variational techniques and eigenvalue analysis. The formalism gives as limiting cases the three-particle isobar model as well as the quasiparticle formalism. The extreme sensitivity of off-shell multiparticle theories to calculation approximation schemes is minimized by our methods. The theory provides optimal systematic extension and improvement of several multiparticle models. (Submitted to The Physical Review) * Work supported by the U. S. Atomic Energy Commission.

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