Subject: Physical Chemistry · Chapter: Quantum Chemistry · Topic: Particle In A Box · Exam: CSIR-NET 2014 · Marks: 2 · Difficulty: Medium
A particle in a 1-dimensional box of length $L$ is perturbed by a delta function potential, $\delta(x-L / 2)$, in the middle of the box. The first order energy correction to the ground state will be [Hint: $\int_{+\infty}^{-\infty} f(x) \delta(x-a) d x=f(a)$ ]