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Title:Normalization of Bethe-Saltpeter amplitudes
Author(s):Singh, Amarjit Harnamsingh
Doctoral Committee Chair(s):Nishijima, K.
Department / Program:Physics
Subject(s):normalization condition
Bethe-Salpeter amplitudes
neutral system
energy-momentum conservation
Abstract:Two new derivations of the normalization condition for Bethe-Salpeter (bound state) amplitudes are presented. The first derivation is based on charge conservation. The normalization condition obtained is independent of the total charge of the system and, in principle, could be applied to a neutral system if we could regard a neutral system as being the limiting case of a charged one. The second derivation is based on energy-momentum conservation. The final result is precisely of the same form as the one obtained from charge conservation. We believe this to be the first derivation based on the expectation value of a conserved quantity which is applicable to all possible two-body systems, including neutral ones. Our results agree completely with the recent work of other authors who have used methods different from ours. Normalization of Wick's solution is presented as an illustration of the application of our normalization condition.
Issue Date:1967
Genre:Dissertation / Thesis
Rights Information:1967 Amarjit Harnamsingh Singh
Date Available in IDEALS:2011-07-07
Identifier in Online Catalog:6087275

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