Stability of Atoms

This lecture covers the proof of the Kato-Rellich theorem, its application to Schrödinger operators, and the introduction to the stability of atoms in quantum mechanics, focusing on the Coulomb uncertainty principle. The instructor explains the concept of being A-bounded with a bound 'a' and the conditions for the Kato-Rellich theorem to hold. The lecture progresses to discuss the stability of atoms in quantum mechanics, emphasizing the importance of the Coulomb uncertainty principle in understanding the behavior of electrons within the nucleus. The presentation concludes with a detailed analysis of the energy levels and stability of atoms, showcasing the significance of the Coulomb potential in determining the stability of atomic structures.