Density Matrix Methods and Superconductivity Theory

1968 ◽  
pp. 194-232
Author(s):  
J. G. Valatin
Keyword(s):  
Density Matrix ◽  
Matrix Methods ◽  
Superconductivity Theory

GORKOV'S ANSATZ IN SUPERCONDUCTIVITY THEORY

1965 ◽  
Vol 43 (12) ◽  
pp. 2142-2149 ◽  
Author(s):  
A. J. Coleman ◽  
S. Pruski
Keyword(s):  
Density Matrix ◽  
Green’S Function ◽  
Green's Function ◽  
Order Parameter ◽  
Green’S Functions ◽  
Second Order ◽  
Bcs Theory ◽  
Initial Value ◽  
Ginzburg Landau ◽  
Superconductivity Theory

By means of Green's functions methods, Gorkov derived the BCS theory on the basis of the Ansatz that the correlation part of the second-order Green's function could be factored in the form χχ* where χ is a two-particle function closely related to the Ginzburg–Landau order-parameter. Since the density matrix is an initial value of a Green's function, Gorkov's Ansatz is equivalent to an assumption about the 2-matrix. The present paper considers circumstances in which the Gorkov Ansatz is exactly satisfied by a system of a definite number of fermions.

Considerations on describing non-singlet spin states in variational second order density matrix methods

2012 ◽  
Vol 136 (1) ◽  
pp. 014110 ◽  
Author(s):  
Helen van Aggelen ◽  
Brecht Verstichel ◽  
Patrick Bultinck ◽  
Dimitri Van Neck ◽  
Paul W. Ayers
Keyword(s):  
Density Matrix ◽  
Second Order ◽  
Spin States ◽  
Matrix Methods

Density Matrix Methods in NMR

2003 ◽  
pp. 27-44 ◽  
Author(s):  
M. Bloom ◽  
E. E. Burnell ◽  
C. A. de Lange
Keyword(s):  
Density Matrix ◽  
Matrix Methods

scholarly journals Charge-constrained auxiliary-density-matrix methods for the Hartree–Fock exchange contribution

2014 ◽  
Vol 141 (9) ◽  
pp. 094104 ◽  
Author(s):  
Patrick Merlot ◽  
Róbert Izsák ◽  
Alex Borgoo ◽  
Thomas Kjærgaard ◽  
Trygve Helgaker ◽  
...  
Keyword(s):  
Density Matrix ◽  
Exchange Contribution ◽  
Matrix Methods ◽  
Hartree Fock
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