Including Potential Energy (PE) Classically,PE=-e2 Quantum Mechanically,PE=_-e2 4eo「 4J8or We will use the quantum mechanical definition of PE. ·Fm KE--g(2n） So our final equation is: w）-型 Now,we must find the special y's that are solutions to this equation and also satisfy the boundary conditions. Π-6Classically, PE = -e2 4πεo r Quantum Mechanically, PE = -e2 Ψ • So our final equation is: • Now, we must find the special Ψ’s that are solutions to this equation and also satisfy the boundary conditions. Including Potential Energy (PE) • We will use the quantum mechanical definition of PE. • From the previous slide, KE = -h 2 8 m π 2 ∇ 2 ( Ψ ) 4πεo r 2 -h 8 m π 2 ∇ 2 ( Ψ ) - = E Ψ e 2 Ψ 4πεo r III-6