Quote:
|
Originally Posted by AntonioLao Planck's constant is the quantum of action which is really angular momentum. Angular momentum is the product of mass, velocity, and distance. In Hamiltonian formalism, mass and velocity cannot be separated. In Lagrangian Formalism, the mass is given the value of 1. The generalized coordinates are momenta and position for Hamiltonian and velocity and position for Lagrangian.
But for mass independence of primary forces only a2▪r2=c makes any sense so that the quantization is derived when there is an integer n such that the next a2 is just na1 but the r2 will becomes r2/n. |
In lagrangian formalism, given that there is independence of primary forces, could you substitude 'angular momentum is the product of velocity and distance' (as mass is 1) by '____________ is the product of E/M and E'? If you can't, why? If you can, then what is the ________ part, is it still angular momentum? Moreover, could the lagrangian ever describe gravity (I believe not as in it mass can't be used in mv=p therefore also there is no ma=F for this formalism)?
More comments comming.