An approximation for the specific heat of an ideal Bose as an explicit function of temperature above the condensation temperature $Tc$ is derived. The formula yields the exact values of the specific heat and its first derivative at $Tc$ and has an accuracy of at least 0.3% over the full range of temperatures.

1.
K. Huang, Statistical Mechanics, 2nd ed. (Wiley, New York, 1987), p. 292.
2.
R. K. Pathria, Statistical Mechanics, 2nd ed. (Butterworth-Heinemann, Boston, 1996), p. 164.
3.
R. P. Feynman, Statistical Mechanics (Addison-Wesley, Reading, MA, 1972), p. 33, refers the reader to Ref. 4 for a calculation of the discontinuity in $(∂CV/∂T)V$ at $Tc.$
4.
L. D. Landau and E. M. Lifshitz, Statistical Physics, 3rd ed. (Pergamon Press, Oxford, 1980), p. 183, gives $Δ(∂CV/∂T)V=3.66Nk/Tc.$
5.
R. Baierlein, Thermal Physics (Cambridge University Press, Cambridge, 1999), p. 204, contains a formula $CV=3/2Nk[1+0.231(Tc/T)3/2].$
6.
D. V. Schroeder, An Introduction to Thermal Physics (Addison-Wesley, San Francisco, 2000), p. 324, guides the reader to $CV$ through numerical exercises.
7.
F. London, Superfluids (Wiley, New York, 1954), Vol. 2, pp. 48, 203.
8.
J. E.
Robinson
, “
Note on the Bose-Einstein integral functions
,”
Phys. Rev.
83
,
678
679
(
1951
).
9.
London’s formula reads $CV=3/2Nk[1+0.231(Tc/T)3/2+0.045(Tc/T)3+0.007(Tc/T)9/2+…]$ [which is equivalent to Pathria’s Eq. (15) on p. 160]. Although the virial expansion is not supposed to be suitable in the neighborhood of $Tc,$ it yields $1.925Nk$ for $CV$ at $Tc,$ a satisfactory approximation. This formula can not be used to decide whether or not the specific heat is continuous at $Tc.$
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