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- W3100558208 abstract "For a noninteracting Bose gas with a fixed one-body Hamiltonian H^0 independent of the number of particles we derive the inequalities <N_i>_N < <N_i>_{N+1}, <N_i N_j>_N < <N_i>_N <N_j>_N for ineq j, partial <N_0>_N/partial beta >0 and <N_i>^+_N < <N_i>_N. Here N_i is the occupation number of the ith eigenstate of H^0, beta is the inverse temperature and the superscript + refers to adding an extra level to those of H^0. The results follow from the convexity of the N-particle free energy as a function of N." @default.
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- W3100558208 date "2004-01-06" @default.
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- W3100558208 title "Correlation inequalities for noninteracting Bose gases" @default.
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- W3100558208 doi "https://doi.org/10.1088/0305-4470/37/3/006" @default.
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