Question Bank NAT • 2 Marks Section 4: Quantum Mechanics Schrodinger equation

QB_PH_107: Schrodinger equation

Question Statement

An attractive 1D potential $V(x) = -\alpha \delta(x)$ supports how many bound states?
Correct Answer
1, 1
Verified Key

Step-by-Step KaTeX Derivation & Detailed Explanation

### Solution: A 1D delta potential supports exactly 1 bound state with energy $E = -m\alpha^2 / (2\hbar^2)$.
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