  In a recent letter, Martin and Zagrebnov [Europhys. Lett., 73 (2006) 1]
discussed the thermodynamic Casimir effect for the ideal Bose gas confined in a
thin film. We point out that their findings can be expressed in terms of
previous general results for the Casimir effect induced by confined critical
fluctuations. This highlights the links between the Casimir effect in the
contexts of critical phenomena and Bose-Einstein condensation.
