L17.1 Configuration space for Hamiltonians

[@cikif]

0:51 "..had no -dependents- *dependence* ..." 3:12 " ...error is -a Fourier- *of order* 1/T..." 14:48 "...the -act- *fact* that you know..."

[@dennercassio]

Clearly he said dependence

[@brendawilliams8062]

Thankyou. You are an excellent educator

[@xinyujiao4464]

Does R's include momentum coordinates? In quantum mechanics, H is a function of both position and momentum.

[@yuunayunohana9920]

In QM, the Hamiltonian (H), positions and momenta are all operators. The R's are parameters. So no, the R's do not include momenta. As he says in the video, one R could be the electric field, another R the magnetic field, and yet another R the spring constant. Considering the previous videos, the R's can also represent the (fixed) positions of protons that form a potential for an electric Hamiltonian. Note that in that situation the protons are fixed for a given set of R's and the quantum state describes only the electrons.

[@brendawilliams8062]

@@yuunayunohana9920Thanyou this is all very interesting and exactly where I need to be. I am interested in the Landau area of a map and how it’s relating to differential equations. I want to understand the 3 Turin machines purpose in differential equations. I can’t figure it out

[@brainstormingsharing1309]

👍👍👍👍👍👍👍