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.

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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.

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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.

性行為放縱者

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.

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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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