Problems – Quantum Mechanics
Wave functions
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).Problem | Wavefunctions