- #1
Robben
- 166
- 2
Homework Statement
Let ##\langle\psi| = \int^{\infty}_{-\infty}dx\langle\psi|x\rangle\langle x|.## How do I calculate ##\langle\psi|\psi\rangle?##
Homework Equations
##\int^{\infty}_{-\infty}dxf(x)\delta(x-x_0)=f(x_0)##
The Attempt at a Solution
##\langle\psi|\psi\rangle = \int\int dx'dx\langle \psi|x\rangle\langle x|x'\rangle\langle x'|\psi\rangle = \int\int dx'dx\langle\psi|x\rangle\delta(x-x')\langle x'|\psi\rangle## but then how does that equal to ##\int dx \langle\psi|x\rangle\langle x|\psi\rangle?##