- #1
Orion1
- 973
- 3
What is the signifigance of the first derivative of the Lorentz transformation gamma function with respect to [tex]dv[/tex]?
What type of system does this derivative represent?
[tex]\gamma'(v) = \frac{d}{dv} \left( \frac{1}{\sqrt{1 - \left( \frac{v}{c} \right)^2}} \right) = \frac{v}{c^2 \left[ 1 - \left( \frac{v}{c} \right)^2 \right]^\frac{3}{2}}[/tex]
[tex]\boxed{\gamma'(v) = \frac{v}{c^2 \left[ 1 - \left( \frac{v}{c} \right)^2 \right]^\frac{3}{2}}}[/tex]