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Dimensional Scaling in Chemical Physics Book

Dimensional Scaling in Chemical Physics
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  • Dimensional Scaling in Chemical Physics
  • Written by author Dudley R. Herschbach
  • Published by Springer-Verlag New York, LLC, November 1992
  • 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
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Book Categories

Authors

IBasic Aspects5
1Introduction7
2Tutorial61
IIThe Research Frontier81
3Large-D Limit for N-Electron Atoms83
4Low D Regime115
4.1The One-Dimension Limit115
4.2Flatland: The Periodic System for D = 2131
5Hyperspherical Symmetry139
5.1D-Dimensional Hydrogenlike Orbitals139
5.2Ground-State Wigner Function for the D-dimensional Hydrogen Atom165
5.31/n Expansions for Quasistationary States179
6Hypercylindrical Symmetry197
6.1The Spheroidal H Atom197
6.21/n Expansion for a Hydrogen Atom in Strong External Fields217
6.3Simple Molecules and Variant Scalings230
6.4Symmetry-breaking and Tunneling in H[actual symbol not reproducible]256
7General Computational Strategies275
7.1Singularity Analysis and Summation of 1/D Expansions275
7.2Dimensional Scaling and Spectral Properties315
7.3The Dimensional Dependence of Rates of Convergence of Rayleigh-Ritz Variational Calculations on Atoms and Molecules336
8Two-Electron Excited States359
8.1Dimensional Expansions for Excited States359
8.2Analytic Continuation of Higher Angular Momentum States to D Dimensions and Interdimensional Degeneracies375
9Large-D Limit for Metalic Hydrogen389
10D-Interpolation of Virial Coefficients429
IIIRelated Methods459
11Nonseparable Dynamics461
12Pseudomolecular Electron Correlation in Atoms471
12.1The Three-Body Coulomb Problem in Molecular Coordinates471
12.2Valence Electrons in Atoms: Collective or Independent-Particle-Like?485
Epilogue499
Index501


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