The wave function of the particle moving in free space is w(x) = exp(ikx) * exp(-ikx).
a) Find the energy of the particle.
b) What is the probability current density for the real part of the wave function?
The wave function of the particle is given as w(x) = ve.
a) Find the probability of the particle in -a < x < a.
b) Find the value of b so that the probability of finding the particle in the range -b < x < b is 0.5.