عنوان

Asymptotic Methods in Quantum Mechanics

(Number (ISBN

9783642573170

(Number (ISBN

9783642631375

Number

b407325

Title Proper

Asymptotic Methods in Quantum Mechanics

General Material Designation

[Book]

Other Title Information

Application to Atoms, Molecules and Nuclei /

First Statement of Responsibility

by S. H. Patil, K. T. Tang.

Place of Publication, Distribution, etc.

Berlin, Heidelberg :

Name of Publisher, Distributor, etc.

Imprint: Springer,

Date of Publication, Distribution, etc.

2000.

Series Title

Springer Series in Chemical Physics,

Volume Designation

64

ISSN of Series

0172-6218 ;

Text of Note

1. Introduction -- 2. General Properties of Wave Functions -- 2.1 Asymptotic Form of Wave Functions -- 2.2 Asymptotic Perturbed Wave Function -- 2.3 Wave Function for rij ? 0 -- 2.4 Wave Function for rij and rik ? 0 -- 2.5 Local Satisfaction of Schrödinger Equation -- 2.6 Variational Stationary Property -- 2.7 Variational Approach to Perturbations -- 2.8 Generalised Virial Theorem -- 2.9 A Simple Example -- 3. Two- and Three-Electron Atoms and Ions -- 3.1 A Simple Wave Function -- 3.2 Wave Functions Satisfying Cusp, Coalescence and Asymptotic Conditions -- 3.3 Three-Electron Wave Functions -- 4. Polarizabilities and Dispersion Coefficients -- 4.1 Polarizabilities -- 4.2 Dispersion Coefficients -- 4.3 Alkali Isoelectronic Sequences -- 4.4 Asymptotic Polarizabilities and Dispersion Coefficients -- 5. Asymptotically Correct Thomas-Fermi Model Density -- 5.1 Thomas-Fermi Model -- 5.2 Solution for the Thomas-Fermi Density -- 5.3 Asymptotic Density -- 5.4 Modified Density -- 5.5 Applications -- 6. Molecules and Molecular Ions with One and Two Electrons -- 6.1 Wave Functions for One-Electron Molecular Ions -- 6.2 Energies for One-Electron Molecular Ions -- 6.3 Wave Function for H2 and He2++ -- 6.4 Results for the Ground State -- 7. Interaction of an Electron with Ions, Atoms, and Molecules -- 7.1 Atomic Rydberg States -- 7.2 Electron-Atom and Electron-Molecule Scattering at High Energies -- 8. Exchange Energy of Diatomic Systems -- 8.1 Exchange Energy of Dimer Ions -- 8.2 Exchange Energy of Diatomic Molecules -- 9. Inter-atomic and Inter-ionic Potentials -- 9.1 Exchange Energy and Exchange Integral in the Heitler-London Theory -- 9.2 Generalized Heitler-London Theory -- 9.3 Inter-atomic and Inter-ionic Potentials -- 10. Proton and Neutron Densities in Nuclei -- 10.1 Semi-phenomenological Density -- 10.2 Determination of the Parameters -- 10.3 Results -- References.

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Text of Note

Asymptotic Methods in Quantum Mechanics is a detailed discussion of the general properties of the wave functions of many particle systems. Particular emphasis is placed on their asymptotic behaviour, since the outer region of the wave function is most sensitive to external interaction. The analysis of these local properties helps in constructing simple and compact wave functions for complicated systems. It also helps in developing a broad understanding of different aspects of quantum mechanics. As applications, wave functions with correct asymptotic forms are used to systematically generate a large data base for susceptibilities, polarizabilities, interactomic potentials and nuclear densities of many atomic, molecular and nuclear systems.

International Standard Book Number

9783642631375

Title

Springer eBooks

Mathematical physics.

Physics.

Quantum theory.

Patil, S. H.

Tang, K. T.

SpringerLink (Online service)

Date of Transaction

20190301074400.0

Electronic name

[Book]

Y