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Just another WordPress siteMon, 09 Nov 2015 03:02:21 +0000hourly1https://wordpress.org/?v=4.5.9Comment on Ch 1. Hamilton Jacobi EQ by wes_reddit
http://www.visualquantumphysics.org/?page_id=31#comment-767
Mon, 09 Nov 2015 03:02:21 +0000http://www.visualquantumphysics.org/?page_id=31#comment-767I’m just taking the total derivative of u, which is a function of Q(t) and t. But since Q(t) is a vector, you could write this as u(q1(t),q2(t),q3(t),t). Now take the total derivative. You should get what I got. Peace.

Edit: Also note that we’re letting derivative of qj(t) equal uj, since u is assumed to be Q’s velocity field. If you expand out the partial derivatives, then make this substitution, it should make sense.

]]>Comment on Ch 1. Hamilton Jacobi EQ by soconfused
http://www.visualquantumphysics.org/?page_id=31#comment-766
Mon, 09 Nov 2015 01:54:11 +0000http://www.visualquantumphysics.org/?page_id=31#comment-766How did you get from Equation 5 to Equation 6? I think I follow everything up until then but the stuff after the du_i/dt term confuses me. Where did the sum come from? I understand where -dV/dq_i came from, because that’s from familiar, basic intro mechanics physics. It’s a definition that relates a force to a potential. I’ve honestly never liked V for potential, because it’s the same symbol for voltage, but I know why you used it.