Gell-Mann and Low theorem

The Gell-Mann and Low theorem is a fundamental result in quantum field theory and many-body physics that describes how to relate the eigenstates of an interacting quantum system to those of a non-interacting (or free) quantum system. It is particularly useful in the context of perturbation theory. In essence, the theorem provides a formal framework for understanding how the presence of interactions affects the wavefunctions and energies of a quantum system.