- #1
eljose
- 484
- 0
Hello i didn,t understand the slow motion approach of course i know that:
\frac{\partial f }{\partial x^{0}}\sim \epsilon \frac{\partial f }{\partial x^{a}} according to this approach with epsilon<<<1 small parameter for every smooth function my doubts are.
a)what would happen to higher derivatives of f with respect to time and spatial coordinates?..x,y,z ?
b)If we only want effect upto first order in epsilon parameter then..what would happen to:
\nabla ^{2}f (Laplacian)
(1,1,1)*Gra(f) (scalar product involving the gradient)
or if we had \epsilon div(f) would it mean that the only term that should be kept is df/dt if we consider effects only to first order?..
thanks.
\frac{\partial f }{\partial x^{0}}\sim \epsilon \frac{\partial f }{\partial x^{a}} according to this approach with epsilon<<<1 small parameter for every smooth function my doubts are.
a)what would happen to higher derivatives of f with respect to time and spatial coordinates?..x,y,z ?
b)If we only want effect upto first order in epsilon parameter then..what would happen to:
\nabla ^{2}f (Laplacian)
(1,1,1)*Gra(f) (scalar product involving the gradient)
or if we had \epsilon div(f) would it mean that the only term that should be kept is df/dt if we consider effects only to first order?..
thanks.
