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Dispersion relations for form factors
Il Nuovo Cimento, 1958The dispersion relations for form factors are studied in perturbation theory. In particular, the relations are proved for a realistic nucleon in the form usually assumed in literature. It is demonstrated, however, that in more general cases the mass spectrum in the dispersion relations depends on the masses of the contributing particles in a peculiar ...
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The Hose Instability Dispersion Relation
Journal of Mathematical Physics, 1964The dispersion relation is obtained for the ``hose'' instability in a modulated beam of charged particles traveling through a finite ohmic plasma channel. For a relativistic beam, the low-frequency mode obeys a dispersion relation of the same form as for the unmodulated beam, but it involves a constant which will have to be obtained by machine ...
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Exact Inversion of Dispersion Relations
The Physics of Fluids, 1966A method is proposed for explicitly determining the complex roots of dispersion relations involving transcendental analytic functions. A simple consequence of Cauchy's theorem, the method has application in many fields, including current plasma problems.
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Corrections to Dispersion Relations
Physical Review, 1957Agodi, A., Cini, M., Vitale, B.
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Subtractions in Dispersion Relations
Physical Review, 1961Sugawara, M., Kanazawa, Akira
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