Potential function for the Time-Independent Schrodinger eq.

[xago]

Homework Statement

[PLAIN]http://img820.imageshack.us/img820/4205/agvg.png

Homework Equations

TISE: $$\left(-\frac{\hbar}{2m}\nabla^2 + V(r) \right) \psi(r) = E\psi(r)$$

The Attempt at a Solution

Can someone tell me what 'transcendental' means in part b). I've looked up definitions of the word but I can't see how it applies to the question. If anyone could re-phrase the question or give me some direction that would be great!

 

[fzero]

Transcendental here is just referring to the fact that the equation is going to involve exponential functions. A transcendental function is one that can't be written in terms of finite polynomials.