# Question: a what are the conditions on the energy of the...

###### Question details

a) What are the **conditions on the energy** of the
particle *E* for it to be in a *bound state?* In a
*scattering state?*

b) Write down the time-independent Schrödinger equation in
**regions II and III.**

**For the rest of the problem, consider only the
bound-state solutions.**

c) Identify and clearly **define the wave number (k or
kappa)** in regions II and III. Make sure that the waye
number is *real.*

d) Write down the general form of the wave function psi(x) in
**regions I, II, III.**

e) Write down the complete set of *boundary conditions*
on the wave function psi(x).

f) *Apply* the boundary conditions on psi to eliminate
and/or relate the unknown coefficients A,B, etc. and to obtain
**a** **transcendental equation that relates the
wave numbers** in regions II and III.