Density matrix formulation of quantum theory and its physical interpretation

1980 ◽  
Vol 17 (1) ◽  
pp. 1-24 ◽  
Author(s):  
Frederik J. Belinfante
Keyword(s):  
Quantum Theory ◽  
Density Matrix ◽  
Physical Interpretation ◽  
Matrix Formulation

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.

Performance of the Density Matrix Functional Theory in the Quantum Theory of Atoms in Molecules

2011 ◽  
Vol 116 (4) ◽  
pp. 1237-1250 ◽  
Author(s):  
Marco García-Revilla ◽  
E. Francisco ◽  
A. Costales ◽  
A. Martín Pendás
Keyword(s):  
Quantum Theory ◽  
Density Matrix ◽  
Atoms In Molecules ◽  
Functional Theory

scholarly journals Exceptional behavior of d-like surface resonances on W(110): the one-step model in its density matrix formulation

2014 ◽  
Vol 16 (1) ◽  
pp. 015005 ◽  
Author(s):  
J Braun ◽  
K Miyamoto ◽  
A Kimura ◽  
T Okuda ◽  
M Donath ◽  
...  
Keyword(s):  
Density Matrix ◽  
Matrix Formulation ◽  
Step Model ◽  
One Step ◽  
The One
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