Density-matrix formalism for partially coherent optical fields propagating in slightly inhomogeneous media

1986 ◽  
Vol 18 (4) ◽  
pp. 253-264 ◽  
Author(s):  
S. G. Krivoshlykov ◽  
N. I. Petrov ◽  
I. N. Sissakian
Keyword(s):  
Density Matrix ◽  
Inhomogeneous Media ◽  
Matrix Formalism ◽  
Optical Fields ◽  
Partially Coherent ◽  
Density Matrix Formalism

Direct minimization of the energy functional in LCAO-MO density matrix formalism

1976 ◽  
Vol 41 (4) ◽  
pp. 311-319 ◽  
Author(s):  
Piercarlo Fantucci ◽  
Stefano Polezzo ◽  
Maria Paola Stabilini
Keyword(s):  
Density Matrix ◽  
Energy Functional ◽  
Matrix Formalism ◽  
Density Matrix Formalism ◽  
Direct Minimization ◽  
Lcao Mo

scholarly journals The Chandrasekhar Mass of A Gravitating Electron Crystal

1994 ◽  
Vol 147 ◽  
pp. 565-570
Author(s):  
D. Engelhardt ◽  
I. Bues
Keyword(s):  
Magnetic Field ◽  
Density Matrix ◽  
White Dwarf ◽  
Matrix Formalism ◽  
Plasma Zone ◽  
Isothermal Model ◽  
Fermi Function ◽  
Density Matrix Formalism ◽  
The Magnetic Field ◽  
Electron Crystal

AbstractThe internal structure of a white dwarf may be changed by a strong magnetic field. A local model of the electrons is constructed within a thermal density matrix formalism, essentially a Heisenberg magnetism model. This results in a matrix Fermi function which is used to construct an isothermal model of the electron crystal. The central density of the crystal is 108kg/m3 independent of the magnetic field within the plasma and therefore lower than the relativistic density, whereas this density is constant until the Fermi momentum x f = 0.3 * me * c. Chandrasekhar masses up to 1.44 * 1.4M0 are possible for polarizations of the plasma zone lower than 0.5, if the temperature is close to the Curie point, whereas the crystal itself destabilizes the white dwarf dependent on temperature.

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