Solving Potential Homework: 6 Eqns, 6 Unknwns & 7 Eqns, 7 Unknwns

[splitringtail]

Homework Statement

I have a question concerning this potential. For E < V0, I have the R and T coefficients, but there sum doesn't equal one, but you have six equations and six unknowns, so its easy to solve I guess.. I have gotten the same answers doing it different ways but can't seem to get R+T=1.

However, it is a lot easier case then solving the case for when E > V0 I have seven unknowns and six equations.

All these equations I have gotten from the continuity requirements. Could I be missing something else?


Could I at least change the interior wavefuntions into sine/cosine since the exponent forms since it's reduces unknowns when matching at zero?

Homework Equations

The Attempt at a Solution

 

[Avodyne]

See https://www.physicsforums.com/showpost.php?p=1534981&postcount=5