Lecture 19: Canonical Transformations

[@Jan_D-vm5rk]

Thank you for putting this on KZbin. This way I can study efficiently. Learning this from Goldstein would be very, very difficult for me. You are doing a great job!

[@tas_dogu4263]

This is one of the best explanations I've ever heard about this topic! Love your channel, please keep the videos coming!

[@okboomer9078]

Thanks sir you made it clear and understandable you're a savior

[@GABRIELMACIELDEOLIVEIRA]

Amazing video!

[@盧比奧]

best lecture on hamiltonian formulation ive found on youtube

[@montes0212]

in 7:18 why is not just 1/2 kx^2 in terms of the potential energy?

[@atchekho]

Spring potential energy would be 1/2kx^2 if x were the length of the spring. However, because the spring is on the cart, which is moving relative to our coordinate system, we need to convert x from the x-y-z "lab" frame into the x'-y'-z' "cart" frame: x' = x - xcart = x - vc t, where xcart = vc t is the position of the cart at time t and vc is the velocity of the cart.

[@acer1210]

Very good bideo. Nice explain in small time

[@HelloWorlds__JTS]

Here's the playlist link: kzbin.info/aero/PL39mDr1uU6a5iYPIcDi5x_vt8l9FZjCSo