Asymptotic Methods in Quantum Mechanics
Springer Berlin (Verlag)
978-3-642-63137-5 (ISBN)
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.
"This is a monograph ... . It is intended for researchers and graduate students in chemical physics and related areas." (Tuncay Aktosun, zbMATH 0947.81002, 2022)
“This is a monograph … . It is intended for researchers and graduate students in chemical physics and related areas.” (Tuncay Aktosun, zbMATH 0947.81002, 2022)
Erscheint lt. Verlag | 24.10.2012 |
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Reihe/Serie | Springer Series in Chemical Physics |
Zusatzinfo | XI, 174 p. |
Verlagsort | Berlin |
Sprache | englisch |
Maße | 155 x 235 mm |
Gewicht | 299 g |
Themenwelt | Naturwissenschaften ► Physik / Astronomie ► Atom- / Kern- / Molekularphysik |
Naturwissenschaften ► Physik / Astronomie ► Hochenergiephysik / Teilchenphysik | |
Naturwissenschaften ► Physik / Astronomie ► Quantenphysik | |
Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik | |
Schlagworte | atoms • diatomic molecule • Many-Particle Systems • Molecule • Molecules • Potential • quantum mechanics • scattering • Thomas-Fermi model • Wave • wave functions |
ISBN-10 | 3-642-63137-1 / 3642631371 |
ISBN-13 | 978-3-642-63137-5 / 9783642631375 |
Zustand | Neuware |
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