Asymptotic potential

Hence, the hardness can be approximated as half the HOMO-LUMO gap plus the near-exact asymptotic potential [47]. 

If this equation is compared with the result from light optics where glass bodies are used, one notices that the square-root of the potentials r takes over the role of the refraction indices ne and nr. The relation states that there are different focal lengths in an immersion lens in which the asymptotic potentials >, and 5>r or, correspondingly, the kinetic energies of the electrons... 

Here Gem ( = 1, 2) is the hypothetical charge per unit area of an infinitely thin plate that would produce the same asymptotic potential as produced by plate i and... 

In order to test our methods, we consider a model of two quantum states coupled to a quasiclassical variable, suitable for describing the near resonant electron transfer of an alkali atom such as Na as it approaches a metal surface M at thermal energies. The two asymptotic potential energies correspond to a ground state of neutral components Na + M (state 1) and an excited state for ionic components Na" " + M (state 2), which cross at a short distance. The model consists of two diabatic surfaces and a coupling term given by [21,22]... 

It is interesting to note that, in this case, a force is exerted in the excited state which causes the relative motion of A versus B to change. Nevertheless, this has nothing to do with final state interaction. Here, it is explicitely assumed that there are no anisotropies in the interaction potential and, therefore, the couplings are zero. However, the interaction potential is the full ABC potential minus the asymptotic potential and the asymptotic diatomic potential is not zero. The asymptotic potential is typically a Morse type potential that depends still on r. The initial non-equilibrium configuration of... 

In an attempt to overcome this difficulty, one may use an expansion over eigenstates which are adapted to the true potential and not to the asymptotic potential. One thus defines adiabatic states by solving, for each Ra the... 

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