By Lande A.

The purpose of this e-book is to teach that quantum mechanics in its simple strategies and its formalistic principles isn't depending on a elegant interpretation of experiments on a microphysical scale yet will be constructed as an easy end result of user-friendly actual ideas of continuity and symmetry.

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2b there is nothing unusual about the aromatic system, but the nuclei of the two fluorine atoms in the ‘‘Fjord region’’ are linked by a bond path [4] closing a seven-membered ring which has quite an unusual topology – it gives rise to two ring critical points and a cage critical point [5]. We have, thus, recently reported the first example of an actual molecular system in which a cage is bounded by only two ring surfaces [5]. Such a CCP (enclosed by two ring surfaces) arises in all the studied derivatives of 1,12-difluoro[4]helicenes [5].

002 au isodensity envelope. The zeroflux surfaces are denoted by the vertical bars between the atomic symbols. Large spheres represent the nuclei of the fluorine atoms (golden) and of the boron atom (blue–gray). The lines linking the nuclei represent the bond paths. The BCPs are denoted by the small red dots. A BCP always lies on the zero-flux surface shared by the two bonded atoms. basins constitute proper open quantum systems and are therefore termed ‘‘pseudoatoms’’. e. share a common interatomic zero-flux surface, a bond critical point, and a bond path) to atoms and other pseudo-atoms in a molecule.

Will vanish only for systems bounded by a zero-flux surface satisfying Eq. (6) (or for the whole system, because the Laplacian integrated over the entire space also vanishes). Thus only the total system and proper open sub-systems will have a definite kinetic energy. A proper open system (one bounded by a zero-flux surface and/or infinity) will be referred to as W to distinguish it from an arbitrary bounded region of space o. For such a proper open system one has: KðWÞ ¼ GðWÞ ¼ TðWÞ ð32Þ and, because the integral of the Laplacian vanishes over W, the integral of the local statement of the virial theorem (Eq.

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