Conclusions
In conclusion, we can point out that in case our hypothesis is proved by calculation for complex atoms and molecules it will give us a possibility to carry quant mechanic calculations on a new high level because then we can determine the boundaries of the above-mentionedN ! equivalent areas analytically a priori . In fact, we suggest a new quant chemistry as it was mentioned in [8].
P.S. It should be admitted that our thought experiment is difficult to carry in physical space for we have to pass through the zero point of wave function. This is forbidden by the forces considered in [8] and responsible for antisymmetry of wave functions. Figuratively speaking, we don’t know presently if we have enough energy to overcome the forces of antisimmetry and transfer our electron through this point. This experiment is easier to carry if the coordinates of other electrons are being changed. Of course, we don’t know how electrons in atoms and molecules move. Moreover, we can’t know this in principle if the uncertainty principle of Heisenberg [12] is valid. By the way, in the same paper [12] Heisenberg for the first time used the term “electron trajectory” and considered several thought experiments with electrons. Electrons don’t stay still without doubt. In Stern and Gerlach experiments trajectories of electrons were observed but the electrons were free and not connected with atoms nuclei. However, we are sure that science does not stand still and is discovering new and unknown laws of the material world, so the mysterious properties of electrons will be explained together with value and range of action of above-mentioned antisimmetry forces in comparison with other fundamental forces.