scholarly journals Abstract twisted duality for quantum free Fermi fields

1983 ◽  
Vol 19 (2) ◽  
pp. 729-741 ◽  
Author(s):  
Jerzy J. Foit
Keyword(s):  
Free Fermi ◽  
Twisted Duality

Functional Quantum Theory of Free Relativistic Fermi Fields

1970 ◽  
Vol 25 (5) ◽  
pp. 575-586
Author(s):  
H. Stumpf
Keyword(s):  
Hilbert Space ◽  
Quantum Theory ◽  
Physical Interpretation ◽  
Functional Equations ◽  
Dirac Field ◽  
Functional Hilbert Space ◽  
Free Fermi ◽  
Special Case ◽  
Relativistic Fermi

Functional quantum theory of free Fermi fields is treated for the special case of a free Dirac field. All other cases run on the same pattern. Starting with the Schwinger functionals of the free Dirac field, functional equations and corresponding many particle functionals can be derived. To establish a functional quantum theory, a physical interpretation of the functionals is required. It is provided by a mapping of the physical Hilbert space into an appropriate functional Hilbert space, which is introduced here. Mathematical details, especially the problems connected with anticommuting functional sources are treated in the appendices.

scholarly journals Asymptotic orbits in a free Fermi gas

1973 ◽  
Vol 33 (1) ◽  
pp. 1-22 ◽  
Author(s):  
R. Haag ◽  
R. V. Kadison ◽  
D. Kastler
Keyword(s):  
Fermi Gas ◽  
Free Fermi ◽  
Asymptotic Orbits
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