Nonlinear field theoretical approaches to the electron density amplitude equation in many-electron atoms and molecules
UNSPECIFIED. (1998) Nonlinear field theoretical approaches to the electron density amplitude equation in many-electron atoms and molecules. INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 12 (16-17). pp. 1693-1707. ISSN 0217-9792Full text not available from this repository.
In this paper we have presented a comparison of the effective one-body potentials arising in Thomas-Fermi (TF) phenomenology and density function (DF) theories on the one hand and the Method of Coherent Structures (MCS) on the other. In spite of a number of assumptions made in TF and DF, particularly in connection with the exchange component of the potential, quantitative agreement has been found with the MCS. In addition we have drawn attention to several similarities in the associated energy functionals. The Saxon-Woods potential, used in diverse contexts of many-body physics, has been shown to satisfy a nonlinear differential equation which can be transformed into a equation of the class satisfied by the classical field equation in the MCS. This indicates, once more, that there are intricate connections between phenomenological approaches, which attempt to incorporate many-body physical effects, and the systematic and unifying development offered within the MCS.
|Item Type:||Journal Article|
|Subjects:||Q Science > QC Physics|
|Journal or Publication Title:||INTERNATIONAL JOURNAL OF MODERN PHYSICS B|
|Publisher:||WORLD SCIENTIFIC PUBL CO PTE LTD|
|Date:||10 July 1998|
|Number of Pages:||15|
|Page Range:||pp. 1693-1707|
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