Abstract:
On the basis of a macroscopic ground state population it was argued recently that Bose-Einstein condensation should occur in a one-dimensional harmonic potential. We examine this situation by drawing analogies to bosons in a two-dimensional box, where the thermodynamic limit is well-defined. We show that in both systems although the ground state populations show sharp onsets at the critical temperature, the behaviour of the specific heat is analytic, which proves the absence of a phase transition in these systems.
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Received: 17 February 1997 / Revised: 3 September 1997 / Accepted: 13 October 1997
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Ingold, GL., Lambrecht, A. Thermodynamics of non-interacting bosons in low-dimensional potentials. Eur. Phys. J. D 1, 29–32 (1998). https://doi.org/10.1007/s100530050060
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DOI: https://doi.org/10.1007/s100530050060