We obtain
from which it is given under consideration of the first equation (14):
|
(17)
|
Finally, the momentum is according to (10):
|
(18)
|
If we summarize everything, we come to the result:
If a body whose state at rest is given by the variables
, is adiabatically brought to velocity
, then the state variables assume the value:
|
(14)
|
|
|
|
(14)
|
|
(17)
|
|
(16)
|
|
|
|
(18)
|
These equations are in agreement with the results of the paper of Planck[1]. Besides thermodynamics, Planck used the relativity principle, while stating equation (10) for momentum is essential in our work.
- ↑ Berliner Berichte, 1907, p. 542.