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:

\(m_{0}\)

Dimension:

mass

law

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

Latex:

\[E^{2} = \left(p c\right)^{2} + \left(m_{0} c^{2}\right)^{2}\]