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\sect{Bose gas for general dispersion relation}

Consider an ideal Bose gas in d dimensions whose single particle
spectrum is given by ${\varepsilon=C|p|^{s}}$. Find the condition on
${s, d}$ for the ence of Bose-Einstein condensation. In particular
show that for nonrelativistic particles in two dimensions
${\left(s=d=2\right)}$ the system does not exhibit Bose-Einstein
condensation. Show that
${P=\left(\frac{s}{d}\right)\left(\frac{E}{V}\right)}$) and
${CV(T-->\infty)=\left(\frac{d}{s}\right)N}$




