Yang–Lee circle theorem was extended to an ideal homogeneous pseudospin-1/2 Bose gas in an external magnetic field [X.Z. Wang, Phys. Rev. E 63 (2001) 046103]. In this paper, the theorem is extended to the case with an arbitrary external potential. The densities of zeros for several cases are...

Using the Huang–Yang–Luttinger and Lee–Yang virial expansions of a dilute Bose gas as well as our theory of phase transition, we show that in the dilute limit, the critical temperature of Bose–Einstein condensation of a Bose gas is given by [Tc−Tc(0)]/Tc(0)=γn1/3a,...