LECTURE 16 THE SCHRÖDINGER EQUATION

GUESSING THE SE

the potential expression for kinetic energy kinetic plus potential energy gives the total energy

Global Phase  If solution of SE then gives the same physical predictions, i.e. same probabilities of measurements Relative phase:  and  don’t represent the same physical state

Coulomb potential of a proton Probability to find electron outside the box is zero

Fig. 6-5, p. 201

Remember our guitar string? We had the boundary condition that the ends of the string were fixed. Quantum mechanical version- the particle is confined by an infinite potential on either side. The boundary condition- the probability of finding the particle outside of the box is ZERO!

Fig. 6-6, p. 201