SUMMARY
The Energy-Momentum transformations apply exactly to photons without the need for corrective terms. Photons possess energy defined by E = pc = hf, where p is momentum and h is Planck's constant. The transformations are derived from the invariant length of the energy-momentum four-vector across all inertial frames. The relativistic Doppler effect must be considered for the wavelength, which varies with the observer's motion relative to the source.
PREREQUISITES
- Understanding of Energy-Momentum four-vectors
- Familiarity with Lorentz Transformations
- Knowledge of the relativistic Doppler effect
- Basic principles of special relativity
NEXT STEPS
- Study the derivation of the relativistic Doppler shift formula
- Explore the implications of the invariant length of four-vectors in special relativity
- Investigate the relationship between energy and momentum for massless particles
- Learn about the concept of the center of momentum frame for systems of photons
USEFUL FOR
Physicists, students of relativity, and anyone interested in the behavior of light and energy-momentum transformations in different inertial frames.