Recent content by anton01

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    Question about velocity-dependent Lagrangian involving magnetic fields

    Homework Statement The Lagrange method does work for some velocity dependent Lagrangian. A very important case is a charged particle moving in a magnetic field. The magnetic field can be represented as a "curl" of a vector potential ∇B = ∇xA . A uniform magnetic field B0 corresponds to a vector...
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    Physical Interpretation of point transformation invariance of the Lagrangian

    This means that the Lagrangian is independent of the coordinate system. And this makes sense, because a coordinate system is nothing physical and is arbitrary. So, this means that the Lagrangian is universal? In other words, it works for any coordinate system.
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    Physical Interpretation of point transformation invariance of the Lagrangian

    No they are not. They are something we make in order to do the calculations. It was just a wild guess really.
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    Physical Interpretation of point transformation invariance of the Lagrangian

    Homework Statement The problem asked us to show that the Euler-Lagrange's equations are invariant under a point transformation q_{i}=q_{i}(s_{1},...,s_{n},t), i=1...n. Give a physical interpretation. Homework Equations \frac{d}{dt}(\frac{\partial L}{\partial \dot{s_{j}}})=\frac{\partial...