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| 姓名：(德)弗洛里舍克著 作者简介： 作品：《力学-第4版》 姓名：(德国)弗洛里舍克 (Florian.S.)著 作者简介： 作品：《力学-第4版》 |
| 插图： by assumption the transformation matrix is not singular; cf. （2.34）. this proves the proposition. another way of stating this result is this: the variational derivatives are covariant under diffeomorphic transformations of the generalized coordinates. it is not correct, therefore, to state that the lagrangian function is "t - u". although this is a natural form, in those cases where kinetic and potential energies are defined it is certainly not the only one that describes a given problem. in gen- eral, l is a function of q and q', as well as of time t, and no more. how to construct a lagrangian function is more a question of the symmetries and invariances of the physical system one wishes to describe. there may well be cases where there is no kinetic energy or no potential energy, in the usual sense, but where a lagrangian can be found, up to gauge transformations （2.33）, which gives the correct equa- tions of motion. this is true, in particular, in applying the v 更多 |
| 1.elementary newtonian mechanics 1.1 newton's laws (1687) and their interpretation 1.2 uniform rectilinear motion and inertial systems 1.3 inertial frames in relative motion 1.4 momentum and force 1.5 typical forces. a remark about units 1.6 space, time, and forces 1.7 the two-body system with internal forces 1.7.1 center-of-mass and relative motion 1.7.2 example: the gravitational force between two celestial bodies (kepler's problem) 1.7.3 center-of-mass and relative momentum in the two-body system 1.8 systems of finitely many particles 1.9 the principle of center-of-mass motion 1.10 the principle of an 更多 |
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