Total energy via momentum and rest mass

The energy—momentum relation, also called relativistic dispersion relation, is a relativistic equation relating total energy to invariant mass and momentum. It is the extension of mass-energy equivalence (Total energy via relativistic mass) for bodies or systems with non-zero momentum.

Notation:

  1. c (c) is speed_of_light.

Links:

  1. Wikipedia.

relativistic_energy

Total, or relativistic, energy of the body.

Symbol:

E

Latex:

E

Dimension:

energy

relativistic_momentum

Relativistic momentum of the body.

Symbol:

p

Latex:

p

Dimension:

momentum

invariant_mass

rest_mass of the body.

Symbol:

m_0

Latex:

m0

Dimension:

mass

law

E^2 = (p * c)^2 + (m_0 * c^2)^2

Latex:
E2=(pc)2+(m0c2)2