Expectation Values, Momentum Operator & Heisenberg Uncertainty
Shows why momentum in position space must be the differential operator -iℏ ∂/∂x and how non-commutativity [x̂, p̂] = iℏ enforces Δx·Δp ≥ ℏ/2.
MIT 8.04 Quantum Physics I, Spring 2013
In this lecture, Prof. Adams begins with a round of multiple choice questions. He then moves on to introduce the concept of expectation values and motivate the fact that momentum is given by a differential operator with Noether's theorem.
Source: MIT OpenCourseWare via YouTubeWatch on YouTube
Previous · Lecture 3
The Wave Function, Born's Rule & Fourier Wave Packets
Next · Lecture 5Linear Operators, Eigenfunctions & The Schrödinger Equation
Comments
Add a comment...Sign in