In the Tong lecture notes recommended by Haushofer there is a line on p21 which really switched a bright light on for me. The line is "... ##p_i = \frac{\partial L}{\partial q_i}## is called the generalised momentum conjugate to ##q_i##. (It only coincides with the real momentum in Cartesian...
Thanks for pointing this out. Not immediately obvious but maybe I really do need to do a bit of work on Lagrangian and Hamiltonian mechanics.
Cheers
TerryW
Thanks for your recommendation Frabjous.
You're right, it's Box 25.4 which is causing me the problems, starting with the Hamiltonian for Newtonian Gravity!! Why are the r^2 and (rsin𝜃)^2 in the denominator rather than the numerator?
Well, my main question was seeking suggestions for a good book on Hamiltonian Mechanics and I haven't had any response on that. If anyone had come forward with a suggestion and then maybe offered help with the questions thrown up by Box 24.2, I could then set out my issues with maybe some hope...
Homework Statement: Practical examples of Hamiltonian Mechanics sought
Relevant Equations: Hamilton Jacobi Equations, MTW
Hi,
I'm currently a bit stuck on Box 24.2 in MTW. I really need to get a better understanding of Hamiltonian Mechanics to be able to work my way through this and I...
I'm pretty sure I understand why q^i u^j + u^i q^i is the stress component (i \neq j) of the Heat Flux Stress/Energy Tensor but I can't think of, or find any explanation for why q^i u^i + u^i q^i = 0.
I found one reference in Lightman, Press, Price and Teukolsky - Problem Book in Relativity...
I haven't posted for a while and I am still (!) working through some of the things I didn't quite get in MTW Chapter 21.
Here is my latest puzzle.
I want to work out how to get from Equation (12) in the attachment, to Equation (15).
I've tried the "add and subtract" ##\{\frac...
Hi to any reader passing this way.
If you too are stuck on this problem, I can now offer a few thoughts on how to get to the solution after being given some very helpful guidance by TSny.
1. There are three metrics to be used - The metric outside the shell (Schwartzschild), the metric inside...
Hi Everyone.
Can anyone give me some hints which will point out how to solve this problem, particularly using 'the formalism of Ex 21.25'.
I've kicked this around for a couple of weeks now and I haven't been able to come up with anything.
Regards
TerryW