To the Theory of Low-Dimensional Hydrogen Molecules

Using analytical and numerical methods, the possibility of existence of the elongated and flat hydrogen molecules H2 is first analyzed by analogy with the possibility of existence of low-dimensional single- and two-electron atoms previously proved theoretically (including us) and the impossibility of existence of the same multi-electron atom first pointed out in one of our previous works. In principle, conclusions of the present work can be verified experimentally, since low-dimensional, that is, one- and two-dimensional atoms were obtained experimentally long time ago. In our opinion, the material presented in the Appendix is of independent methodical interest because of its possible inclusion in traditional courses of quantum mechanics.