Letter | Published:

Relation between the Reciprocal Impenetrability of Matter and Pauli's Exclusion Principle

Nature volume 119, page 196 (05 February 1927) | Download Citation



WHEN the collisions between the molecules of an ideal gas are taken into consideration, then the motion of the gas does not appear to be multiply periodic. It is therefore impossible to quantise this motion by means of the classical quantum theory. Moreover, in the treatment of the ideal gas by means of the new undulatory mechanics, hitherto only the impenetrability of the walls of the vessel has been taken into account, and not the reciprocal impenetrability of the molecules (E. Schrödinger, Phys. Zs., 27, 95, 1926). I propose to show here that, in the case of impenetrable moving mass-points, wavemechanics gives an exact and very elementary solution. Simultaneously we arrive at the relation mentioned in the title.

Access optionsAccess options

Rent or Buy article

Get time limited or full article access on ReadCube.


All prices are NET prices.

Author information


  1. Instit. v. theor. Natuurkunde, Leiden, Holland.



  1. Search for PAUL EHRENFEST in:

About this article

Publication history





By submitting a comment you agree to abide by our Terms and Community Guidelines. If you find something abusive or that does not comply with our terms or guidelines please flag it as inappropriate.