scholarly journals Integration Methods where Force is Obtained from the Smoothed Gravitational Field

1971 ◽  
Vol 10 ◽  
pp. 168-178
Author(s):  
Frank Hohl

Many problems in stellar dynamics involve phenomena occurring in inhomogeneous systems in which the interaction between the particles is fully described by a self-consistent field operating in phase space. Because the particles interact by means of the long-range Coulomb force, each particle is under the simultaneous influence of a large number of other particles. Therefore, stellar systems will respond to any perturbation in a collective manner, and a study of such systems is concerned essentially with the N-body problem.

1973 ◽  
Vol 51 (8) ◽  
pp. 789-794 ◽  
Author(s):  
R. G. Rystephanick

A microscopic treatment, based on the BCS model of a superconductor, of the magnetic field generated inside a rotating cylindrical superconductor (London moment) is presented. The rotation of the superconductor is treated by considering the superconductor to be in an appropriate gravitational field and Bogolubov's self-consistent field method is used to calculate the current generated by the rotation. The field obtained is found to agree with that predicted by other treatments and observed experimentally.


1997 ◽  
Vol 7 (C2) ◽  
pp. C2-515-C2-516
Author(s):  
H. Agren ◽  
L. G.M. Pettersson ◽  
V. Carravetta ◽  
Y. Luo ◽  
L. Yang ◽  
...  

Author(s):  
Daniel Lambrecht ◽  
Eric Berquist

We present a first principles approach for decomposing molecular linear response properties into orthogonal (additive) plus non-orthogonal/cooperative contributions. This approach enables one to 1) identify the contributions of molecular building blocks like functional groups or monomer units to a given response property and 2) quantify cooperativity between these contributions. In analogy to the self consistent field method for molecular interactions, SCF(MI), we term our approach LR(MI). The theory, implementation and pilot data are described in detail in the manuscript and supporting information.


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