Normalization of Bethe-Saltpeter amplitudes

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.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Physics

Year dc:date

2011

Author dc:creator

• Singh, Amarjit Harnamsingh

Contributors dc:contributor

• Nishijima, K.

• normalization condition
• Bethe-Salpeter amplitudes
• neutral system
• energy-momentum conservation

Statement dc:rights

• 1967 Amarjit Harnamsingh Singh

Language dc:language

en

Identifier

6087275

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/25706