# Gas in a box (momentum)

## Description

The particle in a box model describes a particle free to move in a small space surrounded by impenetrable barriers. the results of the quantum particle in a box can be used to look at the equilibrium situation for a quantum ideal gas in a box which is a box containing a large number of molecules which do not interact with each other except for instantaneous thermalizing collisions. For both massive and massless particles in a box, the states of a particle are enumerated by a set of quantum numbers [nx, ny, nz = (1,2,3,...)]. The magnitude of the momentum is depended on the length of a side of the box. (Each possible state of a particle can be thought of as a point on a 3-dimensional grid of positive integers. )

Related formulas## Variables

p | Momentum (kg*m/s) |

h | Planck constant |

L | The length of a side of the box (m) |

n_{x} | positive integer (dimensionless) |

n_{y} | positive integer (dimensionless) |

n_{z} | positive integer (dimensionless) |