From 33bc3429a0a3d013a94147868b4d50728441fe56 Mon Sep 17 00:00:00 2001 From: Adamo Date: Wed, 23 Dec 2020 14:34:03 -0500 Subject: [PATCH] Some left-over changed. --- .../1-27/Expectation Value Time Dependence | 13 +++++++++++++ 1 file changed, 13 insertions(+) diff --git a/lecture_notes/1-27/Expectation Value Time Dependence b/lecture_notes/1-27/Expectation Value Time Dependence index 874a1a1..4064fcd 100644 --- a/lecture_notes/1-27/Expectation Value Time Dependence +++ b/lecture_notes/1-27/Expectation Value Time Dependence @@ -14,3 +14,16 @@ Computed Derivative d/dt : ħ dt +Computed Derivative (pic) d/dt (pic) + +Discovered/Introduced Commutator +Cpmpatible Observables occur when commutator is equal to 0. + +[Ĥ,Â] = Ĥ - ÂĤ + +Constant of Motion +------------------ + if d/dt  = 0 and [Ĥ,Â] = 0, + then  is a constant of motion + + Thm: Two operators such that [Â,B̂] always have common Eigenstates