This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.View Full Document
Unformatted text preview: of both operators simultaneously. e.g. can find wavefunctions ψ n such that A ˆ = a and B ˆ = b n n n n n n • This means that we can know the exact values of both observables A and B simultaneously (no uncertainty limitation). 2) For operators that do not commute ⎡ ⎣ A ˆ , B ˆ ⎤ ⎦ ≠ 0 • it is not possible to find a set of wavefunctions that are simultaneous eigenfunctions of both operators. • This means that we cannot know the exact values of both observables and simultaneously ⇒ uncertainty ! e.g. ⎡ ⎣ x ˆ, p ˆ ⎤ ⎦ = i ! ≠ 0 ⇒ Δ x Δ p ≥ ! 2...
View Full Document
This note was uploaded on 09/24/2011 for the course MATH 1090 taught by Professor Greenwood during the Spring '08 term at MIT.
- Spring '08