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 (:ref:`Total energy via relativistic mass`) for bodies or systems with non-zero momentum.

**Notation:**

#. :math:`c` (:code:`c`) is :attr:`~symplyphysics.quantities.speed_of_light`.

**Links:**

#. `Wikipedia <https://en.wikipedia.org/wiki/Energy%E2%80%93momentum_relation>`__.

.. py:currentmodule:: symplyphysics.laws.relativistic.total_energy_via_momentum_and_rest_mass

.. py:data:: relativistic_energy

    Total, or relativistic, :attr:`~symplyphysics.symbols.basic.energy` of the body.

Symbol:
    :code:`E`

Latex:
    :math:`E`

Dimension:
    :code:`energy`


.. py:data:: relativistic_momentum

    Relativistic :attr:`~symplyphysics.symbols.classical_mechanics.momentum` of the body.

Symbol:
    :code:`p`

Latex:
    :math:`p`

Dimension:
    :code:`momentum`


.. py:data:: invariant_mass

    :attr:`~symplyphysics.symbols.relativistic_mechanics.rest_mass` of the body.

Symbol:
    :code:`m_0`

Latex:
    :math:`m_{0}`

Dimension:
    :code:`mass`


.. py:data:: law

    :code:`E^2 = (p * c)^2 + (m_0 * c^2)^2`


    Latex:
        .. math::
            E^{2} = \left(p c\right)^{2} + \left(m_{0} c^{2}\right)^{2}