The conjecture on thermodynamic equivalence of the Bogoliubov Hamiltonian to the perfect Bose gas
Let HΛBH_{\Lambda}^{B}HΛB be the Bogoliubov Hamiltonian, and let pB(\Greekmath010C,\Greekmath0116)p^{B}({\Greekmath 010C},{\Greekmath 0116})pB(\Greekmath010C,\Greekmath0116) and pPBG(\Greekmath010C,\Greekmath0116)p^{PBG}({\Greekmath 010C},{\Greekmath 0116})pPBG(\Greekmath010C,\Greekmath0116) denote, respectively, t…