Recent content by lausco

Anyone out there that can help me understand this a bit better? I'm still not really sure how to substitute my given expression for dE/dt into the dr/dt that I solved for ... Thanks in advance for any help you guys can offer!

I know that <u|v> = the length of |u> times the projection of |v> along |u> . . . Are the conjugates related the the projection?

Homework Statement Show that the dot product in two-dimensional space is linear: <u|(|v> + |w>) = <u|v> + <u|w> The Attempt at a Solution I feel like I'm missing some grasp of the concept here ... I would think to just distribute the <u| and be done in that one step, but I'm being...

I understand that I should use the chain rule, my mistake; I'm not sure I understand what you've got in the spoiler tags. This class is more for philosophy students who want to understand quantum mechanics, so I wasn't expecting it to be so heavy on the calculus right off the bat . . . If I...

Thanks for the quick response! The first two given equations I'm sure about, and I've made sure I typed them correctly. As for my differentiation, I rearranged the expression for E and got r = (-1/2)(k/E). Differentiating both sides, I get dr/dt = (-1/2)(k/ (dE/dt)). [This is the bit I suspect...

Homework Statement (This problem concerns an electron orbiting a proton. Ultimately we are trying to find the time for a classical electron to spiral into the nucleus of an atom, which will lead us to a discussion of why classical mechanics gives way to quantum mechanics when discussing things...