Foldy-Wouthuysen transformations in an indefinite-metric space. IV. Exact, closed-form expressions for first-order wave equations

1977 ◽  
Vol 15 (2) ◽  
pp. 426-432 ◽  
Author(s):  
R. A. Krajcik ◽  
Michael Martin Nieto
Keyword(s):  
Closed Form ◽  
Metric Space ◽  
Wave Equations ◽  
Indefinite Metric ◽  
First Order ◽  
Indefinite Metric Space

scholarly journals On first order wave equations for elementary particles without subsidiary conditions

1947 ◽  
Vol 191 (1025) ◽  
pp. 253-268 ◽  
Keyword(s):  
Hilbert Space ◽  
Total Energy ◽  
Wave Equations ◽  
Positive Definite ◽  
Elementary Particles ◽  
Indefinite Metric ◽  
First Order ◽  
Fermi Statistics

The possibility of extending the application of the formalism used for the electron and meson fields, as developed from the equation ∂ k β k ψ ═ ik ψ to other types of field, is investigated. It is shown that, subject to the conditions that (1) the equations must contain no subsidiary conditions, (2) either the total energy must be positive definite, or it must be possible to quantize the equations according to Fermi statistics without using an indefinite metric in Hilbert space, no such extension is possible.

scholarly journals On the Dirac's Indefinite Metric Space

1949 ◽  
Vol 4 (4) ◽  
pp. 581-581
Author(s):  
N. Shono ◽  
N. Oda
Keyword(s):  
Metric Space ◽  
Indefinite Metric ◽  
Indefinite Metric Space
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