It is a well-known fact, as demonstrated by Ruedenberg in his seminal work, that covalent bonding in hydrogen molecules occurs as a result of the kinetic energy decreasing with a simultaneous increase in the negative direction in potential energy. However, there are papers stating that this mechanism is not true in general and there are some molecular systems with different mechanisms lying on the bottom of the covalent bonding. Regardless of the successes achieved in explaining the mechanisms of chemical bonding, the problem of ambiguity in results persists, as in the case of the LiH molecule, where Molecular Orbital theory (MO) gives different results than Valence Bond theory (VB). This issue was the subject of research by M. Pendas et al. and also part of our studies. Furthermore, methods based on energy decomposition are not without flaws, as they heavily depend on the numerical methods they are based on, which was discussed in this work. In this subsection, we propose an anal-ysis of chemical bonding based on methods used in condensed matter physics, using the hydrogen molecule as an example.