Titlebook: Asymptotic Methods in Quantum Mechanics; Application to Atoms S. H. Patil,K. T. Tang Book 2000 Springer-Verlag Berlin Heidelberg 2000 Poten

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Two- and Three-Electron Atoms and Ions, functions for these systems, perturbed and unperturbed wave functions, based on their general properties. In this we expect the asymptotic region where one of the electrons is far away, to be an important domain. We therefore analyse the the problem in two stages. We first consider a simple wave fu

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Asymptotically Correct Thomas-Fermi Model Density,ity. It can be regarded as a statistical model with the local density deduced from phase space considerations. Alternatively, the local density can be obtained from the WKB radial wave functions in the classically allowed region. This approach makes it clear that the model is not accurate for atoms

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Molecules and Molecular Ions with One and Two Electrons,In general the analysis of these systems is based on the Born-Oppenheimer approximation that the electronic wave function can be developed with localized nuclei. The energy eigenvalue equation for H. is separable in terms of elliptic coordinates and one has essentially exact numerical solutions. How

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Exchange Energy of Diatomic Systems,agnetism. The concept of an exchange energy was first introduced by Heitler and London in their theory of the H. molecule. The interaction between the two hydrogen atoms leads to the triplet and singlet states of the H. molecule, which degenerate into a single energy level when the internuclear dist

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Book 2000of reliable, meaningful solutions for the energy eigenfunctions of these many­ is a formidable problem. The usual approach for obtaining particle systems the eigenfunctions is based on their variational extremum property of the expectation values of the energy. However the complexity of these variat