So I come from the math community (so please disregard my ignorance on the topic).
If I have a water molecule and write the potential energy surface associated with it, my understanding is that I will find that the atoms configuration minimizes the potential energy function, so it will be a critical point of the potential energy surface.
My question is: suppose I have the building blocks of water, i.e 2 hydrogens and an oxygen, if it were the case by some magic, I added energy to the system that resulted the correct bond length and angles that correspond to water. Does that mean I have the water? That is to say ,geometrically, that I have taken a trajectory from the original potential minimum of just the original building blocks to a new potential minimum by adding energy. Since this new configuration has the correct bond length and angles, and potential energy, does that mean this atom configuration must indeed be water?