- #1
sloneranger
- 6
- 0
Hello,
I need help understanding how to apply the formula for converting a Lagrangian to an equation of motion in this following specific application.
On page 4 of Zee's QTF in a Nutshell, he gives a Lagrangian (equation 1). In the following sentence he gives the corresponding equation of motion. I know the formula for converting a Lagrangian, but I don't get/understand Zee's answer. I have searched books and online without finding a similar worked out example.
Help is most appreciated. (I hope the formulas show below show up correctly.)
Thanks, Richard
(1) L = 1/2(∑am(dqa/dt)2 - ∑a,bkabqaqb - ...)
equation of motion => m(d2qa/dt2)a = - ∑bKabqb
I need help understanding how to apply the formula for converting a Lagrangian to an equation of motion in this following specific application.
On page 4 of Zee's QTF in a Nutshell, he gives a Lagrangian (equation 1). In the following sentence he gives the corresponding equation of motion. I know the formula for converting a Lagrangian, but I don't get/understand Zee's answer. I have searched books and online without finding a similar worked out example.
Help is most appreciated. (I hope the formulas show below show up correctly.)
Thanks, Richard
(1) L = 1/2(∑am(dqa/dt)2 - ∑a,bkabqaqb - ...)
equation of motion => m(d2qa/dt2)a = - ∑bKabqb