Menu Close

Bound State Eigenfunctions

Problem | Wavefunctions

Problem – Bound state eigenfunctions of an attractive finite range smooth potential behave for larger r as:

(a) $exp(-r/r_{0})$ where $r_{0}$ is a positive constant.

(b) $(1/r^{n})$ where n>0

(c) constant

(d) exp(ikr)/r


Solution:

For bound-state wave function -> 0

and the first derivative is continuous.

Hence, option (a).

 

More Related Stuff