The estimates ( 4.14 ) and ( 4.20 ) present a more serious problem ; we replace them by the use of the following results . 3.5.9 PROPOSITION . If A + 0 ( Fisher ) , V ( A ) -in + p and V ( A ) - ' E → 00 , then the points ( V ( A ) ...
Bagnato, V., Pritchard, D.E., Kleppner, D., 1987. Phys. Rev. A 35, 4354. Bahm, C.J., Pethick, C.J., 1996. Phys. Rev. Lett. 76, 6. Bak, P., Krinsky, S., Mukamel, D., 1976. Phys. Rev. Lett. 36, 52. Baker Jr., G.A., 1990.
... (7) so the fraction of atoms that condense into the ground state of the harmonic oscillator is N0 N ( T Tc )3 ; (8) =1− see de Groot, Hooyman, and ten Seldam (1950), and Bagnato, Pritchard, and Kleppner (1987).
to derive formulæ for T, P, and μ in terms of E, N, and V, and verify eqn 6.75. Gibbs–Duhem. istry) 2 As a state function, E is supposed to depend only on S, V, and N. But eqn 6.76 seems to show explicit dependence on T, P, ...
GIBBS. PHASE. RULE. 7.1.1 Equilibrium conditions We start by asking whether there is a limit to the number of phases ... We know from the Gibbs-Duhem equation,6 (P1.1), that μ = μ(T,P), and thus chemical potential can be visualized as a ...
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