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https://hdl.handle.net/2142/25706
Description
Title
Normalization of Bethe-Saltpeter amplitudes
Author(s)
Singh, Amarjit Harnamsingh
Issue Date
1967
Doctoral Committee Chair(s)
Nishijima, K.
Department of Study
Physics
Discipline
Physics
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
normalization condition
Bethe-Salpeter amplitudes
neutral system
energy-momentum conservation
Language
en
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.
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