Question

help....

Answer 1

\[\psi_1 = A e^ { ik_1x} + B e^{-ik_1x} \]
\[\psi_2 = C e^ { ik_2x} + D e^{-ik_2x} \]
\[\psi_3 = E e^ { ik_3x} + F e^{-ik_3x} \]
where \[\ B e^{-ik_1x} \] is reflected wave from boundary at x=0,
F=0, assuming no wave coming from infinity.
Question: What about boundary condition.
at x=- infinity, should not psi(1) go to zero,
but if B is not zero, at x= -infinity it will diverge. then what is the explanation behind this.