# Question: consider the timedependent ground state wave function xt for...

###### Question details

Consider the time-dependent ground state wave function
Ψ(*x,t* *)* for a quantum particle confined to an
impenetrable box.

(a) Show that the real and imaginary parts of Ψ(*x,t)* ,
separately, can be written as the sum of two travelling waves.

(b) Show that the decompositions in part (a) are consistent with your understanding of the classical behavior of a particle in an impenetrable box.