From the solution found in Problem 1.381, we can compute the energy of the photon as seen in reference frame K' as,
Friday, January 8, 2010
Irodov Problem 1.382
The momentum of the photon is given by,
From the solution found in Problem 1.381, we can compute the energy of the photon as seen in reference frame K' as,
From the solution found in Problem 1.381, we can compute the energy of the photon as seen in reference frame K' as,
Irodov Problem 1.383
We can use the results from Problem 1.381 to prove this invariance result.
What Eqn (1) is indicates is an invariance since the quantity does not depend which inertial frame you are observing from!
The value of the constant can be determined simply by considering a frame that is moving with the particle itself. In such a frame, the particle is absolutely stationary, in other words P=0. The energy is equal to the rest mass energy and so we have,
What Eqn (1) is indicates is an invariance since the quantity does not depend which inertial frame you are observing from!
The value of the constant can be determined simply by considering a frame that is moving with the particle itself. In such a frame, the particle is absolutely stationary, in other words P=0. The energy is equal to the rest mass energy and so we have,
Irodov Problem 1.381
From the relativistic transformations of velocities, energy and momentum we have,
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