×

zbMATH — the first resource for mathematics

On Bose-Einstein condensation in any dimension. (English) Zbl 1044.82509
Summary: A general property of an ideal Bose gas as temperature tends to zero and when conditions of degeneracy are satisfied is to have an arbitrarily large population in the ground state (or in its neighborhood); thus, condensation occurs in any dimension \(D\) but for \(D\leqslant2\) there is no critical temperature. Some astrophysical consequences, as well as the temperature-dependent mass case, are discussed.
MSC:
82B10 Quantum equilibrium statistical mechanics (general)
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] Anderson, M.H.; Ensher, J.R.; Matthews, M.R.; Wieman, C.E.; Cornell, E.A., Science, 269, 198, (1995)
[2] Landau, L.D.; Lifshitz, E.M., ()
[3] Pathria, R.K., ()
[4] May, R.M., Phys. rev., 135, 1515, (1964), A
[5] Ziff, M.; Uhlenbeck, G.E.; Kac, M., Phys. rep., 32, 169, (1977)
[6] Van der Berg, M., Phys. lett. A, 78, 88, (1980)
[7] Van der Berg, M.; Lewis, J.T., Commun. math. phys., 81, 475, (1981)
[8] Kirsten, K.; Toms, D.J., Phys. lett. B, 368, 119, (1996)
[9] Martin, Ph., Nuovo cimento, B, 68, 302, (1982)
[10] Fannes, M.; Pule, J.V.; Verbeure, A., Helv. phys. acta, 55, 391, (1982)
[11] Haber, H.E.; Weldon, H.A.; Haber, H.E.; Weldon, H.A., Phys. rev. lett., Phys. rev. D, 25, 502, (1982)
[12] Kapusta, J., Phys. rev. D, 24, 426, (1981)
[13] Kirzhnits, D.A.; Linde, A.D., Phys. lett. B, 42, 47, (1972)
[14] Goldstone, J.; Salam, A.; Weinberg, S., Phys. rev., 127, 965, (1962)
[15] Chaichian, M.; Gonzalez, J.; Montonen, C.; Perez Rojas, H.; Chaichian, M.; Lucio, J.L.; Montonen, C.; Perez Rojas, H.; Vargas, M., Phys. lett. B, Phys. lett. B, 342, 206, (1995)
[16] Chaichian, M.; Gonzalez Felipe, R.; Perez Rojas, H., Phys. lett. B, 342, 245, (1995)
[17] Mermin, N.D.; Wagner, H., Phys. rev. lett., 17, 1133, (1966)
[18] Coleman, S., Commun. math. phys., 31, 259, (1973)
[19] Lewis, J.T.; Pule, J.V., Commun. math. phys., 36, 1, (1974)
[20] Perez Rojas, H., Phys. lett. B, 379, 148, (1996)
[21] Smolenski, G.A.; Isupov, V.A.; Moreira, R.L.; Lobo, R.P.S.M., Sov. J. techn. phys., J. phys. soc. Japan, 61, 1992, (1992)
[22] Cleymans, J.; Oertzen, D.W., Phys. lett. B, 249, 511, (1990)
[23] Fradkin, E.S., ()
[24] Perez Rojas, H.; Kalashnikov, O.K.; Perez Rojas, H., Nucl. phys. B, Phys. lett. A, 137, 13, (1989)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.