Fully Self-Consistent RPA Description of the Many Level Pairing Model

Many-body Green functions are a very efficient formulation of the many-body problem. We review the application of this method to nuclear physics problems. The formulas which can be derived are of general applicability, e.g., in self-consistent as well as in nonself-consistent calculations. With the help of the Landau renormalization, one obtains relations without any approximations. This allows to apply conservation laws which lead to important general relations. We investigate the one-body and two-body Green functions as well as the three-body Green function and discuss their connection to nuclear observables. The generalization to systems with pair correlations are also presented. Numerical examples are compared with experimental data.

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A MODEL FOR THE MUTUAL INFLUENCE OF CHEMISORPTION AND MULTILAYER SEGREGATION

Surface Review and Letters ◽

10.1142/s0218625x96002266 ◽

1996 ◽

Vol 03 (02) ◽

pp. 1253-1257 ◽

Cited By ~ 2

Author(s):

HUI ZHANG ◽

SHULIN CONG

Keyword(s):

Green Function ◽

Function Method ◽

Surface Segregation ◽

Mutual Influence ◽

Potential Approximation ◽

Green Function Method ◽

Self Consistent ◽

The Green Function ◽

The Many ◽

Chemisorption Energy

The Green function method and the chemisorption theory of Einstein and Schrieffer are used to calculate the chemisorption energies of O and CO on the multilayer segregated Ni-Cu disordered binary alloy within the many-coupled self-consistent coherent potential approximation. In general cases, the chemisorption-induced surface segregation can change the surface component and the chemisorption property to varying degrees. When the mutual influence of chemisorption and multilayer segregation is considered, the changes appear slightly mild. The chemisorption energy for O/Ni-Cu (CO/Ni-Cu) depends sensitively on O(CO) coverage θ, and decreases with increasing θ.

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Self-Consistent Field Approach to the Many-Electron Problem

Physical Review ◽

10.1103/physrev.115.786 ◽

1959 ◽

Vol 115 (4) ◽

pp. 786-790 ◽

Cited By ~ 1152

Author(s):

H. Ehrenreich ◽

M. H. Cohen

Keyword(s):

Field Approach ◽

Consistent Field ◽

Self Consistent ◽

Self Consistent Field ◽

The Many

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A many-particle approach to the gyro-kinetic theory

Journal of Plasma Physics ◽

10.1017/s0022377806006258 ◽

2007 ◽

Vol 73 (5) ◽

pp. 757-772 ◽

Cited By ~ 3

Author(s):

ALEXEY MISHCHENKO ◽

AXEL KÖNIES

Keyword(s):

Kinetic Equation ◽

Kinetic Theory ◽

First Principles ◽

Conventional Approach ◽

The Self ◽

Collision Term ◽

Lie Transform ◽

Self Consistent ◽

The Many ◽

Particle Approach

AbstractA systematic first-principles approach to the many-particle formulation of the gyro-kinetic theory is suggested. The gyro-kinetic many-particle Hamiltonian is derived using the Lie transform technique. The generalized gyro-kinetic equation is obtained following the Born–Bogoliubov–Green–Kirkwood–Yvon approach. The microscopic expression for the self-consistent potential and the polarization density is obtained. It is shown that new terms appear in the gyro-kinetic polarization that can not be derived in the conventional approach. An expression for the collision term is obtained in the Landau approximation.

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TO WHAT EXTENT DOES THE SELF-CONSISTENT MEAN-FIELD EXIST?

International Journal of Modern Physics E ◽

10.1142/s0218301306004739 ◽

2006 ◽

Vol 15 (05) ◽

pp. 1141-1148 ◽

Cited By ~ 2

Author(s):

LU GUO ◽

FUMIHIKO SAKATA ◽

EN-GUANG ZHAO ◽

J. A. MARUHN

Keyword(s):

Mean Field Theory ◽

Mean Field ◽

Energy Difference ◽

The Self ◽

Fermion System ◽

Avoided Crossing ◽

Self Consistent ◽

The Mean ◽

The Many ◽

First Time

A non-convergent difficulty near level-repulsive region is discussed within the self-consistent mean-field theory. It is shown by numerical and analytic studies that the mean-field is not realized in the many-fermion system when quantum fluctuations coming from two-body residual interaction and quadrupole deformation are larger than an energy difference between two avoided crossing orbits. An analytic condition indicating a limitation of the mean-field concept is derived for the first time.

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