- #1
M. next
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Two Questions:
1) What do I need to know about it?
2) During the study of its derivation:I ran across the following:
They used Lagrangian in its usual form: L=[itex]\frac{1}{2}[/itex][itex]\sum[/itex]a[itex]_{ik}[/itex](q)[itex]\dot{q_{i}}[/itex][itex]\dot{q_{k}}[/itex] - U(q)
[I had no idea where did this form come from, but if I ignored that and continued my question..]
Then they mentioned that Momenta are:
p[itex]_{i}[/itex]=[itex]\partial[/itex]L/[itex]\partial[/itex][itex]\dot{q_{i}}[/itex]=[itex]\sum[/itex]a[itex]_{ik}[/itex](q)[itex]\dot{q_{k}}[/itex],
So here it comes where did the 1/2 go? Why isn't it present?
1) What do I need to know about it?
2) During the study of its derivation:I ran across the following:
They used Lagrangian in its usual form: L=[itex]\frac{1}{2}[/itex][itex]\sum[/itex]a[itex]_{ik}[/itex](q)[itex]\dot{q_{i}}[/itex][itex]\dot{q_{k}}[/itex] - U(q)
[I had no idea where did this form come from, but if I ignored that and continued my question..]
Then they mentioned that Momenta are:
p[itex]_{i}[/itex]=[itex]\partial[/itex]L/[itex]\partial[/itex][itex]\dot{q_{i}}[/itex]=[itex]\sum[/itex]a[itex]_{ik}[/itex](q)[itex]\dot{q_{k}}[/itex],
So here it comes where did the 1/2 go? Why isn't it present?