A simple
question arises about wave functions for particles in
quantum mechanics: Y, then one squares Y to find a physically meaningful
quantity like a probability. In fact, wave functions are
often complex numbers. The equation
one solves to find where Schroedinger's
equation looks like energy conservation with the twist
that the momentum is replaced by a derivative with
respect to the position
is zero that the solution is a simple sine or cosine
wave. However, when potentials are added, especially in
three dimensions, the math required to solve the equation
becomes quite difficult. The solution of this equation
for a Coulomb potential yields the quantum properties of
atoms which are the subject of the next lecture. V |