Journal
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
Volume 33, Issue 15, Pages L155-L160Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0305-4470/33/15/101
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This letter aims to justify the stochastic equations in terms of the number density variable, which are still controversial, via complementing Dean's approach (Dean D S 1996 J. Phys. A: Math. Gen. 29 L613). Our approach is twofold: first, we demonstrate that standard manipulations straightforwardly transform the stochastic equation of the density operator, derived by Dean, to the Fokker-Planck equation for the (c-number) density distribution functional P({rho}, t). Moreover, we verify the associated static solution of P({rho}, t) with the help of the conditional grand canonical partition function.
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