The Schrodinger equation is effectively the classical wave
equation recast to account for matter waves by using the deBroglie
relation. The simplest possible application of the Schrodinger
equation is the so-called free particle system where potential
energy, V(x)=0.
a) Show that plane waves, such as , are solutions (k is the
wavevector).
b) Use your solution above to find the energy of a free
particle.
c) What values are possible for position, x, and momentum,
p.