[low temperature ideal boson internal energy in d-space] consider a non-interacting boson system in d-space (o is the old german d and ffrak d) gives this font). (1) show that for d > 2 there is an einstein condensation. (2) its internal energy e is proportional to some power of t, if o > 2 for sufficiently low t. determine the exponent statistical-mechanically. (3) show the same result using thermodynamics. to this end, you may use the following fact: the pv-e relation is independent of statistics,2 although i do not forbid you to do full quantum computation as we did in 3-space.