I'm following Griffith's Modern Physics 2nd edition chapter 5.
I got to the part where we make ΨI(0) = ΨII(0) I get that
αCeα(0) = QAsin(Q(0)) - QBsin(Q(0)) => C = QA/α
But when I try to graph it, the region I distribution doesn't seem to equal the region II distribution at 0.
The book goes...
Sorry I appreciate your patience.
So should I take a directional directional derivatives of √(x2 + z) and √(y2 + z) at the given points as well?EDIT:
One thing I probably should have done was write z = f(x, y) = x2 + y2, I thought it would be implied from the context. However another thing I...
Even when concentrated, they still can deliver a small amount of power over a large distance. I haven't done the calculations so I am not sure how much, but here on Earth its on the order of 1 - 3 Watts, so I assume much less than 1 Watt at large distances (when radial), but still present. That...
As far as I could tell, that's how you define a surface, I thought the context made the meaning of f clear, sorry about that.
As for your second question, I mean the directional derivative of f, the gradient at a specific point multiplied by a vector in a particular direction as a unit vector...
Thank you all for your replies.
As far as I know the metric tensor helps define intrinsic coordinates at any point on a surface by getting the identity matrix of the surface at a certain point. The intent was do create a surface with f( x, y ) = x^2 + y^2 then find the metric tensor at points...
I was aware of it but I thought it used an antimatter reaction and didn't know it had a magnetic collector.
I was thinking afterword maybe directed radio waves because of their longer wave length. The reason I would want to see it with a remote power source is basically because sticking a...
I have been teaching myself general relativity and wanted to see if I got these metric tensors right, I have a feeling I didn't.For the first one I get all my directional derivatives
(0, 0): (0)i + (0)j
(0, 1): (0)i + 2j
(1, 0): 2i + (0)j
(1, 1): 2i + 2j
Then I square them (FOIL):
(0, 0): (0)i...
I don't meant to get into the heated part of this, but respectfully propose the following.
A network of satellites meant to transmit a laser beam for power. A space craft, launched with an initial supply of xenon gas, over time gathers interstellar (or interplanetary [less likely due to the...
There are updated forms of the orion concept and others:
Also fusion rockets in general with their estimated 10000 Isp seem plausible as well, and could be created with today's technology (with a net negative reaction of course).
Also I found this very interesting (the second one), haven't...