Timeline for Lagrangian $L' = L + \frac{df}{dt}$ gives the same equations of motion
Current License: CC BY-SA 3.0
5 events
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May 4, 2015 at 20:05 | vote | accept | doetoe | ||
May 3, 2015 at 14:00 | comment | added | Valter Moretti | Well, the tangent space of configuration space does not contain the time coordinate. This fact could give rise to problems: you may have different configuration spaces at different times (think of a point moving along a curve which changes it shape in time). Assuming to work with a jet bundle, actually the fibers must be diffeomorphic but not isometric, this is a mild condition which remains when using the fiber bundle structure... | |
May 3, 2015 at 13:54 | comment | added | doetoe | Thanks, very interesting. Is viewing the Lagrangian as a function on a jet bundle very different from viewing it as a function on the tangent bundle of configuration space? Is one of the points of view more useful or more correct? | |
May 3, 2015 at 13:52 | history | edited | Valter Moretti | CC BY-SA 3.0 |
added 361 characters in body
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May 3, 2015 at 13:47 | history | answered | Valter Moretti | CC BY-SA 3.0 |