Abstract
We calculate the equation of state and the barometric formula for ad-dimensional free boson gas in a weak external field of power form. We find that the condensate has a complicated structure in two dimensions.
This is a preview of subscription content, log in via an institution to check access.
We’re sorry, something doesn't seem to be working properly.
Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.
References
Van den Berg, M.: Phys. Lett.78A, 88–90 (1980)
Ziff, R. M., Uhlenbeck, G. M., Kac, M.: Phys. Lett.32C, 171–248 (1977)
Davies, E. B.: Commun. Math. Phys.30, 229–247 (1973)
Landau, L. J., Wilde, I. F.: Commun. Math. Phys.70, 43–51 (1979)
Lewis, J. T., Pulè, J. V.: Commun. Math. Phys.36, 1–18 (1974)
Cannon, J. T.: Commun. Math. Phys.29, 89–104 (1973)
Lewis, J. T., Pulè, J. V.: Commun. Math. Phys.45, 115–131 (1975)
Critchley, R. H., Lewis, J. T.: Commun. Math. Phys.44, 107–124 (1975)
Van den Berg, M.: Bounds on Green's functions of second-order differential equations, preprint (1980)
Titchmarsh, E. C.: Eigenfunction Expansions I, Chap. VIII. Oxford: Clarendon Press 1962
Kac, M.: Proc. Second Berkeley Symposium on Mathematical Statistics and Probability, pp. 189–215 Berkeley: University of California Press 1951
Author information
Authors and Affiliations
Additional information
Communicated by E. Lieb
Rights and permissions
About this article
Cite this article
Van den Berg, M., Lewis, J.T. On the free boson gas in a weak external potential. Commun.Math. Phys. 81, 475–494 (1981). https://doi.org/10.1007/BF01208269
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01208269