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Dimensional Scaling in Chemical Physics - Dudley R. Herschbach

Dimensional Scaling in Chemical Physics

By: Dudley R. Herschbach (Editor), J.H. Avery (Editor), Osvaldo Gosinski (Editor)

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Published: 30th November 1992
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Dimensional scaling offers a new approach to quantum dynamical correlations. This is the first book dealing with dimensional scaling methods in the quantum theory of atoms and molecules. Appropriately, it is a multiauthor production, derived chiefly from papers presented at a workshop held in June 1991 at the Orsted Institute in Copenhagen. Although focused on dimensional scaling, the volume includes contributions on other unorthodox methods for treating nonseparable dynamical problems and electronic correlation. In shaping the book, the editors serve three needs: an introductory tutorial for this still fledgling field; a guide to the literature; and an inventory of current research results and prospects. Part I treats basic aspects of dimensional scaling. Addressed to readers entirely unfamiliar with the subject, it provides both a qualitative overview, and a tour of elementary quantum mechanics. Part II surveys the research frontier. The eight chapters exemplify current techniques and outline results. Part III presents other methods, including nonseparable dynamics, and electron correlation in pseudomolecular excited states of atoms. Although procrustean conformity was not imposed, unifying and complementary themes are emphasized throughout the book.

Basic Aspectsp. 5
Introductionp. 7
Tutorialp. 61
The Research Frontierp. 81
Large-D Limit for N-Electron Atomsp. 83
Low D Regimep. 115
The One-Dimension Limitp. 115
Flatland: The Periodic System for D = 2p. 131
Hyperspherical Symmetryp. 139
D-Dimensional Hydrogenlike Orbitalsp. 139
Ground-State Wigner Function for the D-dimensional Hydrogen Atomp. 165
1/n Expansions for Quasistationary Statesp. 179
Hypercylindrical Symmetryp. 197
The Spheroidal H Atomp. 197
1/n Expansion for a Hydrogen Atom in Strong External Fieldsp. 217
Simple Molecules and Variant Scalingsp. 230
Symmetry-breaking and Tunneling in H[actual symbol not reproducible]p. 256
General Computational Strategiesp. 275
Singularity Analysis and Summation of 1/D Expansionsp. 275
Dimensional Scaling and Spectral Propertiesp. 315
The Dimensional Dependence of Rates of Convergence of Rayleigh-Ritz Variational Calculations on Atoms and Moleculesp. 336
Two-Electron Excited Statesp. 359
Dimensional Expansions for Excited Statesp. 359
Analytic Continuation of Higher Angular Momentum States to D Dimensions and Interdimensional Degeneraciesp. 375
Large-D Limit for Metalic Hydrogenp. 389
D-Interpolation of Virial Coefficientsp. 429
Related Methodsp. 459
Nonseparable Dynamicsp. 461
Pseudomolecular Electron Correlation in Atomsp. 471
The Three-Body Coulomb Problem in Molecular Coordinatesp. 471
Valence Electrons in Atoms: Collective or Independent-Particle-Like?p. 485
Epiloguep. 499
Indexp. 501
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780792320364
ISBN-10: 0792320360
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 510
Published: 30th November 1992
Publisher: Springer
Country of Publication: NL
Dimensions (cm): 23.5 x 15.5  x 3.81
Weight (kg): 1.99