Probability density of quantum state
====================================

Probability density of a quantum system is the likelihood that the system will be in a particular
position at a particular time.

**Links:**

#. `Wikipedia <https://en.wikipedia.org/wiki/Wave_function#Position-space_wave_functions>`__.

.. py:currentmodule:: symplyphysics.laws.quantum_mechanics.probability_density_of_quantum_state

.. py:data:: probability_density

    :attr:`~symplyphysics.symbols.quantum_mechanics.probability_density` of the system.

Symbol:
    :code:`rho`

Latex:
    :math:`\rho`

Dimension:
    :code:`1/length`


.. py:data:: wave_function

    :attr:`~symplyphysics.symbols.quantum_mechanics.wave_function` of the system.

Symbol:
    :code:`psi`

Latex:
    :math:`\psi`

Dimension:
    :code:`1/sqrt(length)`


.. py:data:: law

    :code:`rho = Abs(psi)^2`


    Latex:
        .. math::
            \rho = \left|{\psi}\right|^{2}