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Book Categories |
I | Basic Aspects | 5 |
1 | Introduction | 7 |
2 | Tutorial | 61 |
II | The Research Frontier | 81 |
3 | Large-D Limit for N-Electron Atoms | 83 |
4 | Low D Regime | 115 |
4.1 | The One-Dimension Limit | 115 |
4.2 | Flatland: The Periodic System for D = 2 | 131 |
5 | Hyperspherical Symmetry | 139 |
5.1 | D-Dimensional Hydrogenlike Orbitals | 139 |
5.2 | Ground-State Wigner Function for the D-dimensional Hydrogen Atom | 165 |
5.3 | 1/n Expansions for Quasistationary States | 179 |
6 | Hypercylindrical Symmetry | 197 |
6.1 | The Spheroidal H Atom | 197 |
6.2 | 1/n Expansion for a Hydrogen Atom in Strong External Fields | 217 |
6.3 | Simple Molecules and Variant Scalings | 230 |
6.4 | Symmetry-breaking and Tunneling in H[actual symbol not reproducible] | 256 |
7 | General Computational Strategies | 275 |
7.1 | Singularity Analysis and Summation of 1/D Expansions | 275 |
7.2 | Dimensional Scaling and Spectral Properties | 315 |
7.3 | The Dimensional Dependence of Rates of Convergence of Rayleigh-Ritz Variational Calculations on Atoms and Molecules | 336 |
8 | Two-Electron Excited States | 359 |
8.1 | Dimensional Expansions for Excited States | 359 |
8.2 | Analytic Continuation of Higher Angular Momentum States to D Dimensions and Interdimensional Degeneracies | 375 |
9 | Large-D Limit for Metalic Hydrogen | 389 |
10 | D-Interpolation of Virial Coefficients | 429 |
III | Related Methods | 459 |
11 | Nonseparable Dynamics | 461 |
12 | Pseudomolecular Electron Correlation in Atoms | 471 |
12.1 | The Three-Body Coulomb Problem in Molecular Coordinates | 471 |
12.2 | Valence Electrons in Atoms: Collective or Independent-Particle-Like? | 485 |
Epilogue | 499 | |
Index | 501 |
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