Introduction to Quantum Mechanics · Problem 2.22

Time-Independent Schrödinger Equation — David J. Griffiths

Physics — Quantum Mechanics · delta_function_integrals

Problem

Evaluate the following integrals: (a) ∫−3+1(x3−3x2+2x−1)δ(x+2) dx\int_{-3}^{+1} (x^3 - 3x^2 + 2x - 1)\delta(x+2)\,dx. (b) ∫0∞[cos⁡(3x)+2]δ(x−π) dx\int_0^{\infty} [\cos(3x) + 2]\delta(x - \pi)\,dx. (c) ∫−1+1exp⁡(∣x∣+3)δ(x−2) dx\int_{-1}^{+1} \exp(|x| + 3)\delta(x - 2)\,dx.

Related theory

Browse the problem library