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Atomic Theory of the $λ$ Transition in Helium TeX Export

Physical Review Online Archive (Prola), Vol. 91, No. 6. (Sep 1953), pp. 1291-1301.

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bose-einstein-condensation helium-4 superfluids

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It is shown from first principles that; in spite of the large interatomic forces; liquid He 4 should exhibit a transition analogous to the transition in an ideal Bose-Einstein gas. The exact partition function is written as an integral over trajectories; using the space-time approach to quantum mechanics. It is next argued that the motion of one atom through the others is not opposed by a potential barrier because the others may move out of the way. This just increases the effective inertia of the moving atom. This permits a simpler form to be written for the partition function. A rough analysis of this form shows the existence of a transition; but of the third order. It is possible that a more complete analysis would show that the transition implied by the simplified partition function is actually like the experimental one.


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