Titlebook: Dimensional Scaling in Chemical Physics; Dudley R. Herschbach,John Avery,Osvaldo Goscinski Book 1993 Springer Science+Business Media Dordr

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Hyperspherical Symmetrye; and in both cases the solutions involve hyperspherical harmonics. In this section we shall discuss the close relationship between hyperspherical harmonics, harmonic polynomials, and exact D-dimensioanl hydrogenlike wave functions. We shall also discuss the importance of these functions in dimensional scaling and in the hyperspherical method.

存心

Pseudomolecular Electron Correlation in Atomsere we examine some new features of the adiabatic molecular problem illustrating the importance of motion near the saddle point of the two-centre potential. Properties of resonant states of the atomic three-body system are shown to be a direct consequence of this saddle-point motion. Its dimensional scaling properties are discussed briefly.

Lice692

T. M. Vuong,F. Pages,P. Deterre,M. Chabreon dependence of energy eigenvalues. The energy typically has a second-order pole at D = 1, the residue of which can often be exactly determined. We demonstrate this with some simple examples and then review a systematic procedure for characterizing a class of dimensional singularities found in coulombic problems.

性行为放纵者

https://doi.org/10.1007/978-3-642-76482-0e; and in both cases the solutions involve hyperspherical harmonics. In this section we shall discuss the close relationship between hyperspherical harmonics, harmonic polynomials, and exact D-dimensioanl hydrogenlike wave functions. We shall also discuss the importance of these functions in dimensional scaling and in the hyperspherical method.

铺子

Traditional GPCR Pharmacology and Beyondere we examine some new features of the adiabatic molecular problem illustrating the importance of motion near the saddle point of the two-centre potential. Properties of resonant states of the atomic three-body system are shown to be a direct consequence of this saddle-point motion. Its dimensional scaling properties are discussed briefly.

Neutral-Spine

ATP Hydrolysis and Synthesis Mechanisms testing ground, accurate electronic energies have been obtained by combining results from two very simple, exactly solvable limits in which the spatial dimension D → ∞ or D → .. Between these limits, the scaled correlation energy is nearly a linear function of ./D, and interpolation yields results

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Signal Transduction by CytokinesResults at D = 3 can be obtained from this classical limit through use of a 1/D expansion. It is generally preferable, however, to modify the large-D hamiltonian so that it reflects the dominant finite-D effects. We describe a simple procedure for performing such a modification without destroying th

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