Since the electron is no longer bound to the hydrogen atom in a hydrogen bond, this is equivalent to a proton resting in one of the wells of a double well potential as described above.
12.
The " inverted symmetric double-well potential ", on the other hand, served as a nontrivial potential in the Schr�dinger equation for the calculation of decay rates and the exploration of the large-order behavior of asymptotic expansions.
13.
Proponents of the classical picture believed that the system was best described by a double-well potential with a very low barrier, while those in the non-classical camp envisioned the delocalized electronic state to describe a single potential energy well.
14.
In cases of instability ( as for the inverted double-well potential ) this equation possesses negative eigenvalues indicative of this instability, i . e . decay ( as shown in the paper of Liang, M�ller-Kirsten and Tchrakian referred to above ).
15.
The so-called "'double-well potential "'is one of a number of quartic potentials of considerable interest in quantum mechanics, in quantum field theory and elsewhere for the exploration of various physical phenomena or mathematical properties since it permits in many cases explicit calculation without over-simplification.
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