 Quote by atyy
The Lagrangian is a way to get the Hamiltonian.
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So
Lagrangian = position/velocity
Hamiltonian = position/momentum, potential
You mentioned the Lagrangian is a way to get the Hamiltonian, meaning the position/velocity is a way to get the position/momentum and potential? How come?
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Sometimes it's easier to incorporate symmetries by using the Lagrangian.
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Symmetries like U(1)? Why is it earlier in Lagrangian?
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The Hamiltonian is still required because it generates "unitary" time evolution.
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Why, there is no time in Lagrangian?
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Roughly, unitarity is is what makes probabilities sum up correctly.
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Probability can't occur in Lagrangian?